1.
図書
Raims Örlü ... [et al.], editors
2.
図書
edited by Charles L. Fefferman, James C. Robinson, José L. Rodrigo
3.
図書
François Treves
4.
図書
Andrew Majda
出版情報:
New York : Courant Institute of Mathematical Sciences, New York University , Providence, R.I : American Mathematical Society, 2003 ix, 234 p. ; 26 cm
シリーズ名:
Courant lecture notes in mathematics ; 9
子書誌情報:
loading…
所蔵情報:
loading…
目次情報:
続きを見る
Preface
Introduction / Chapter 1.:
Basic Properties of the Equations with Rotation and Stratification / 1.1.:
Two-Dimensional Exact Solutions / 1.2.:
Buoyancy and Stratification / 1.3.:
Jet Flows with Rotation and Stratification / 1.4.:
From Vertical Stratification to Shallow Water / 1.5.:
Some Remarkable Features of Stratified Flow / Chapter 2.:
Energy Principle / 2.1.:
Vorticity in Stratified Fluids and Exact Solutions Motivated by Local Analysis / 2.2.:
Use of Theorem 2.4: Exact Two-Dimensional Solutions / 2.3.:
Nonlinear Plane Waves in Stratified Flow: Internal Gravity Waves / 2.4.:
Exact Solutions with Large-Scale Motion and Nonlinear Plane Waves / 2.5.:
More Details for Theorem 2.7 on Special Exact Solutions for the Boussinesq Equations Including Plane Waves / 2.6.:
Linear and Nonlinear Instability of Stratified Flows with Strong Stratification / Chapter 3.:
Boussinesq Equations and Vorticity Stream Formulation / 3.1.:
Nonlinear Instability of Stratified Flows / 3.2.:
Shear Flows / 3.3.:
Some Background Facts on ODEs / 3.4.:
Rotating Shallow Water Theory / Chapter 4.:
Rotating Shallow Water Equations / 4.1.:
Conservation of Potential Vorticity / 4.2.:
Nonlinear Conservation of Energy / 4.3.:
Linear Theory for the Rotating Shallow Water Equations / 4.4.:
Nondimensional Form of the Rotating Shallow Water Equations / 4.5.:
Derivation of the Quasi-Geostrophic Equations / 4.6.:
The Quasi-Geostrophic Equations as a Singular PDE Limit / 4.7.:
The Model Rotating Shallow Water Equations / 4.8.:
Preliminary Mathematical Considerations / 4.9.:
Regorous Convergence of the Model Rotating Shallow Water Equations to the Quasi-Geostrophic Equations / 4.10.:
Proof of the Convergence Theorem / 4.11.:
Linear and Weakly Nonlinear Theory of Dispersive Waves with Geophysical Examples / Chapter 5.:
Linear Wave Midlatitude Planetary Equations / 5.1.:
Dispersive Waves: General Properties / 5.2.:
Interpretation of Group Velocity / 5.3.:
Distant Propagation from a Localized Source / 5.4.:
WKB Methods for Linear Dispersive Waves / 5.5.:
Beyond Caustics: Eikonal Equation Revisited / 5.6.:
Weakly Nonlinear WKB for Perturbations Around a Constant State / 5.7.:
Nonlinear WKB and the Boussinesq Equations / 5.8.:
Simplified Equations for the Dynamics of Strongly Stratified Flow / Chapter 6.:
Nondimensionalization of the Boussinesq Equations for Stably Stratified Flow / 6.1.:
The Vorticity Stream Formulation and Elementary Properties of the Limit Equations for Strongly Stratified Flow / 6.2.:
Solutions of the Limit Dynamics with Strong Stratification as Models for Laboratory Experiments / 6.3.:
The Stratified Quasi-Geostrophic Equations as a Singular Limit of the Rotating Boussinesq Equations / Chapter 7.:
The Rotating Boussinesq Equations / 7.1.:
The Nondimensional Rotating Boussinesq Equations / 7.3.:
Formal Asymptotic Derivation of the Quasi-Geostrophic Equations as a Distinguished Asymptotic Limit of Small Rossby and Froude Numbers / 7.4.:
Rigorous Convergence of the Rotating Boussinesq Equations to the Quasi-Geostrophic Equations / 7.5.:
Introduction to Averaging over Fast Waves for Geophysical Flows / 7.6.:
Motivation for Fast-Wave Averaging / 8.1.:
A General Framework for Averaging over Fast Waves / 8.3.:
Elementary Analytic Models for Comparing Instabilities at Low Froude Numbers with the Low Froude Number Limit Dynamics / 8.4.:
The Rapidly Rotating Shallow Water Equations with Unbalanced Initial Data in the Quasi-Geostrophic Limit / 8.5.:
The Interaction of Fast Waves and Slow Dynamics in the Rotating Stratified Boussinesq Equations / 8.6.:
Waves and PDEs for the Equatorial Atmosphere and Ocean / Chapter 9.:
Introduction to Equatorial Waves for Rotating Shallow Water / 9.1.:
The Equatorial Primitive Equations / 9.2.:
The Nonlinear Equatorial Long-Wave Equations / 9.3.:
A Simple Model for the Steady Circulation of the Equatorial Atmosphere / 9.4.:
Bibliography
Preface
Introduction / Chapter 1.:
Basic Properties of the Equations with Rotation and Stratification / 1.1.:
5.
図書
A. Bensoussan, J.-L. Lions
6.
図書
Carlos A. Berenstein, Milos A. Dostal
7.
図書
Philip Brenner, Vidar Thomée, Lars B. Wahlbin
8.
図書
Alain Bensoussan, Jacques-Louis Lions ; English version edited, prepared, and produced by Trans-Inter-Scientia
9.
図書
Manfred Kracht, Erwin Kreyszig
10.
図書
Ronald B. Guenther and John W. Lee
出版情報:
Englewood Cliffs, N.J. : Prentice-Hall, c1988 xii, 544 p. ; 25 cm
子書誌情報:
loading…
所蔵情報:
loading…
11.
図書
John Gregory
目次情報:
続きを見る
Preface
Overview / 1:
Methods of Operator Approximation in System Modelling / I:
Nonlinear Operator Approximation with Preassigned Accuracy / 2:
Introduction / 2.1:
Generic formulation of the problem / 2.2:
Operator approximation in space C([0; 1]) / 2.3:
Operator approximation in Banach spaces by polynomial operators / 2.4:
Approximation on compact sets in topological vector spaces / 2.5:
Approximation on noncompact sets in Hilbert spaces / 2.6:
Special results for maps into Banach spaces / 2.7:
Concluding remarks / 2.8:
Interpolation of Nonlinear Operators 65 / 3:
Lagrange interpolation in Banach spaces / 3.1:
Weak interpolation of nonlinear operators / 3.3:
Some related results / 3.4:
Realistic Operators and their Approximation / 3.5:
Formalization of concepts related to description of real-world objects / 4.1:
Approximation of RÂícontinuous operators / 4.3:
Methods of Best Approximation for Nonlinear Operators / 4.4:
Best Approximation of nonlinear operators in Banach spaces: Deterministic case / 5.1:
Estimation of mean and covariance matrix for random vectors / 5.3:
Best Hadamard-quadratic approximation / 5.4:
Best polynomial approximation / 5.5:
Best causal approximation / 5.6:
Best hybrid approximations / 5.7:
Optimal Estimation of Random Vectors / 5.8:
Computational Methods for Optimal Filtering of Stochastic Signals / 6:
Optimal linear Filtering in Finite dimensional vector spaces / 6.1:
Optimal linear Filtering in Hilbert spaces / 6.3:
Optimal causal linear Filtering with piecewise constant memory / 6.4:
Optimal causal polynomial Filtering with arbitrarily variable memory / 6.5:
Optimal nonlinear Filtering with no memory constraint / 6.6:
Computational Methods for Optimal Compression and Reconstruction of Random Data / 6.7:
Standard Principal Component Analysis and Karhunen-Loeeve transform (PCA{KLT) / 7.1:
Rank-constrained matrix approximations / 7.3:
Generic PCA{KLT / 7.4:
Optimal hybrid transform based on Hadamard-quadratic approximation / 7.5:
Optimal transform formed by a combination of nonlinear operators / 7.6:
Optimal generalized hybrid transform / 7.7:
Bibliography / 7.8:
Index
Preface
Overview / 1:
Methods of Operator Approximation in System Modelling / I:
12.
図書
Masaaki Yoshida
13.
図書
by B.L. Roždestvenskiĭ and N.N. Janenko ; [translated from the Russian by J.R. Schulenberger]
14.
図書
A. Pazy
15.
図書
[by] Arne Broman
16.
図書
R. W. Carroll
17.
図書
Jacques Chazarain and Alain Piriou
出版情報:
Amsterdam ; New York : North-Holland Pub. Co. , New York : Sole distributors for the U.S.A. and Canada, Elsevier Science Pub. Co., 1982 xiv, 559 p. ; 24 cm
シリーズ名:
Studies in mathematics and its applications ; 14
子書誌情報:
loading…
所蔵情報:
loading…
18.
図書
F. Chorlton
出版情報:
London ; New York : Van Nostrand Reinhold, c1969 250 p. ; 24 cm
子書誌情報:
loading…
所蔵情報:
loading…
19.
図書
[by] Clive R. Chester
20.
図書
Hervé Reinhard
出版情報:
Paris : Dunod, c1987 x, 262 p. ; 24 cm
シリーズ名:
Dunod université
子書誌情報:
loading…
所蔵情報:
loading…
21.
図書
Murray H. Protter, Hans F. Weinberger
出版情報:
New York ; Tokyo : Springer-Verlag, c1984 x, 261 p. ; 25 cm
子書誌情報:
loading…
所蔵情報:
loading…
目次情報:
続きを見る
The One-Dimensional Maximum Principle
Elliptic Equations
Parabolic Equations
Hyperbolic Equations
Bibliography
Index
The One-Dimensional Maximum Principle
Elliptic Equations
Parabolic Equations
22.
図書
Erich Zauderer
目次情報:
続きを見る
Random Walks and Partial Differential Equations
First Order Partial Differential Equations
Classification of Equations and Characteristics
Initial and Boundary Value Problems in Bounded Regions
Integral Transforms
Integral Relations
Green's Functions
Variational and Other Methods
Perturbation Methods
Asymptotic Methods
Bibliography
Solutions to Selected Exercises
Index
Random Walks and Partial Differential Equations
First Order Partial Differential Equations
Classification of Equations and Characteristics
23.
図書
A.R. Mitchell and D.F. Griffiths
出版情報:
Chichester [Eng.] ; New York : Wiley, c1980 xii, 272 p. ; 24 cm
子書誌情報:
loading…
所蔵情報:
loading…
24.
図書
Tyn Myint-U with Lokenath Debnath
出版情報:
New York : North-Holland, c1987 xvii, 554 p. ; 24 cm
子書誌情報:
loading…
所蔵情報:
loading…
25.
図書
Richard Bellman and George Adomian
26.
図書
P.R. Garabedian
出版情報:
New York, N.Y. : Chelsea Pub. Co., c1986 xii, 672 p. ; 24 cm
子書誌情報:
loading…
所蔵情報:
loading…
27.
図書
Lars Hörmander
28.
図書
J.F. Pommaret
29.
図書
François Treves
30.
図書
V.P. Palamodov ; translated by A.A. Brown
31.
図書
J.L. Lions ; translated by S.K. Mitter
32.
図書
Irena Lasiecka, Roberto Triggiani
33.
図書
Irena Lasiecka, Roberto Triggiani
目次情報:
続きを見る
Categories / 1:
Categories and exact sequences / 2:
Change of rings / 3:
The Morita theory / 4:
Limits in categories / 5:
Localization / 6:
Local-global methods / 7:
Categories / 1:
Categories and exact sequences / 2:
Change of rings / 3:
34.
図書
edited by Michael Christ, Carlos E. Kenig, and Cora Sadosky
目次情報:
続きを見る
Preface
Introduction / Michael Christ ; Carlos E. Kenig ; Cora Sadosky
Calderon and Zygmund's Theory of Singular Integrals / Elias M. Stein1:
Transference Principles in Ergodic Theory / Alexandra Bellow2:
A Weak-Type Inequality for Convolution Products / Alberto P. Calderon3:
Transference Couples and Weighted Maximal Estimates Earl / Berkson ; Maciej Paluszynski ; Guido Weiss4:
Periodic Solutions and Nonlinear Wave Equations / Jean Bourgain5:
Some Extremal Problems in Martingale Theory and Ilarmonic Analysis / Donald L. Burkholder6:
The Monge Ampere Equation, Allocation Problems, and Elliptic Systems with Affine Invariance / Luis A. Caffarelli7:
On a Fourth-Order Partial Differential Equation in Conformal Geometry / Sun-Yung A. Chang8:
Riesz Transforms, Commutators, and Stochastic Integrals / A. B. Cruzeiro ; P. Malliavin9:
An Application of a Formula of Alberto Calderon to Speaker Identification Ingrid / Daubechies ; Stephane Maes10:
Analytic Capacity, Cauchy Kernel, Menger Curvature, and Rectifiability / Guy David11:
Symplectic Subunit Balls and Algebraic Functions / Charles Fefferman12:
Multiparameter Calderon-Zygmund Theory / Robert A. Fefferman13:
Nodal Sets of Sums of Eigenfunctions / David Jerison ; Gilles Lebeau14:
Large-Time Behavior and Self-Similar Solutions of Some Semilinear Diffusion Equations / Yves Meyer15:
Estimates for Elliptic Equations in Unbounded Domains and Applications to Symmetry and Monotonicity / Louis Nirenberg16:
Asymptotic Expansions for Atiyah-Patodi-Singer Problems / Robert Seeley17:
Analysis on Metric Spaces / Stephen Semmes18:
Developments in Inverse Problems since Calderon's Foundational Paper Gunther Uhlmann Remarks Addressed to the Conference / 19:
Contributors
Index
Calderón and Zygmund's Theory of Singular Integrals
Transference Couples and Weighted Maximal Estimates Earl Berkson / Alberto P. Calderón
An Application of a Formula of Alberto Calderón to Speaker Identification / Ingrid Daubechies ; Stéphane Maes
Multiparameter Calderón-Zygmund Theory
Developments in Inverse Problems since Calderón's Foundational Paper Gunther Uhlmann Remarks Addressed to the Conference
Preface
Introduction / Michael Christ ; Carlos E. Kenig ; Cora Sadosky
Calderon and Zygmund's Theory of Singular Integrals / Elias M. Stein1:
35.
図書
Ioannis P. Stavroulakis, Stepan A. Tersian
出版情報:
Singapore ; River Edge, N.J. : World Scientific, c1999 x, 297 p. ; 23 cm
子書誌情報:
loading…
所蔵情報:
loading…
目次情報:
続きを見る
First-order Partial Differential Equations / 1.:
Introduction
Linear First-order Equations / 2.:
The Cauchy Problem for First-order Quasi-linear Equations / 3.:
General Solutions of Quasi-linear Equations / 4.:
Fully-nonlinear First-order Equations / 5.:
Second-order Partial Differential Equations
Linear equations / 6.:
Classification and Canonical Forms of Equations in Two Independent Variables / 7.:
Classification of Almost-linear Equations in R[superscript n] / 8.:
One-Dimensional Wave Equation
The Wave Equation on the Whole Line. D'Alembert Formula / 9.:
The Wave Equation on the Half-line. Reflection Method / 10.:
Mixed Problem for the Wave Equation / 11.:
Inhomogeneous Wave Equation / 12.:
Conservation of the Energy / 13.:
Weak Derivatives and Weak Solutions / 14.:
One-Dimensional Diffusion Equation
Maximum-minimum Principle for the Diffusion Equation / 15.:
The Diffusion Equation on the Whole Line / 16.:
Diffusion on the Half-line / 17.:
Inhomogeneous Diffusion Equation on the Whole Line / 18.:
Shock Waves and Conservation Laws
Conservation laws / 19.:
Burgers' Equation / 20.:
Weak Solutions. Riemann Problem / 21.:
Discontinuous Solutions of Conservation Laws. Rankine-Hugoniot Condition / 22.:
The Laplace Equation
Harmonic functions. Maximum-minimum Principle / 23.:
Green's Identities / 24.:
Green's Functions / 25.:
Green's Functions for a Half-space and Sphere / 26.:
Harnack's Inequalities and Theorems / 27.:
Fourier Series and Fourier Method for PDEs
Fourier Series / 28.:
Orthonormal Systems. General Fourier series / 29.:
Fourier Method for the Diffusion Equation / 30.:
Fourier Method for the Wave Equation / 31.:
Fourier Method for the Laplace Equation / 32.:
Diffusion and Wave Equations in Higher Dimensions
Diffusion Equation in Three Dimensional Space / 33.:
Fourier Method for the Diffusion Equation in Higher Dimensions / 34.:
Kirchoff's Formula for the Wave Equation. Huygens' Principle / 35.:
Fourier Method for the Wave Equation on the Plane. Nodal Sets / 36.:
References
Answers and Hints to Selected Exercises
Index
First-order Partial Differential Equations / 1.:
Introduction
Linear First-order Equations / 2.:
36.
図書
H.O. Fattorini
目次情報:
続きを見る
Finite Dimensional Control Problems / Part I:
Calculus of variations and control theory / 1:
Optimal control problems without target conditions / 2:
Abstract minimization problems: the minimum principle for the time optimal problem / 3:
Abstract minimization problems: the minimum principle for general optimal control problems / 4:
Infinite Dimensional Control Problems / Part II:
Differential equations in Banach spaces and semigroup theory / 5:
Abstract minimization problems in Hilbert spaces: applications to hyperbolic control systems / 6:
Abstract minimization problems in Banach spaces: abstract parabolic linear and semilinear equations / 7:
Interpolation and domains of fractional powers / 8:
Linear control systems / 9:
Optimal control problems with state constraints / 10:
Optimal control problems with state constraints: The abstract parabolic case / 11:
Relaxed Controls / Part III:
Spaces of relaxed controls: topology and measure theory / 12:
Relaxed controls in finite dimensional systems: existence theory / 13:
Relaxed controls in infinite dimensional spaces: existence theory / 14:
Finite Dimensional Control Problems / Part I:
Calculus of variations and control theory / 1:
Optimal control problems without target conditions / 2:
37.
図書
Michael E. Taylor
38.
図書
by Viorel Barbu
39.
図書
Jean Leray ; [editor, Paul Malliavin]
出版情報:
Berlin : Springer, 1998 , Paris : Société mathématique de France, c1998 3 v. ; 25 cm
子書誌情報:
loading…
所蔵情報:
loading…
40.
図書
Harold Levine
目次情報:
続きを見る
Introduction
Partial differentiation Solutions of PDE's and their specification PDE's and related arbitrary functions Particular solutions of PDE's
Similarity solutions
Correctly set problems
Some preliminary aspects of linear first order PDE's
First order PDE's, linear First order nonlinear PDE's
Some technical problems and related PDE's
First order PDE's, general theory
First order PDE's with multiple independent variables
Original detaials of the Fourier approach to boundary value problems
Eigenfunctions and eigenvalues
Eigenfunctions and eigenvalues, continued
Non-orthogonal eigenfunctions
Further example of Fourier style analysis
Inhomogeneous problems
Local heat sources
An inhomogeneous configuration
Other eigenfunction/eigenvalue problems
Uniqueness of solutions
Alternative representations of solutions
Other differential equations and inferences therefrom
Second order ODE's
Boundary value problems and Sturm-Liouville theory
Green's functions and boundary value problems
Green's functions and generalizations PDE's, Green's functions, and integral equations
Singular and infinite range problems
Orthogonality and its ramifications
Fourier expansions: Generalities
Fourier expansions: Varied examples Fourier integrals and transforms
Applications of Fourier transforms
Legendre polynomials and related expansions
Bessel functions and related expansions
Hyperbolic equations
Afterwords
Bibliography
Index
Introduction
Partial differentiation Solutions of PDE's and their specification PDE's and related arbitrary functions Particular solutions of PDE's
Similarity solutions
41.
図書
Lawrence C. Evans
目次情報:
続きを見る
Introduction
Representation formulas for solutions: Four important linear partial differential equations / Part I:
Nonlinear first-order PDE Other ways to represent solutions
Theory for linear partial differential equations: Sobolev spaces / Part II:
Second-order elliptic equations Second-order elliptic equations
Linear evolution equations
Theory for nonlinear partial differential equations: The calculus of variations / Part III:
Nonvariational techniques Hamilton-Jacobi equations
Systems of conservation laws
Appendices
Bibliography
Index
Introduction
Representation formulas for solutions: Four important linear partial differential equations / Part I:
Nonlinear first-order PDE Other ways to represent solutions
42.
図書
J. David Logan
43.
図書
Joachim Escher, Gieri Simonett editors
44.
図書
Elena Obolashvili
45.
図書
M.V. Fedoryuk (ed.)
46.
図書
Kazuaki Taira
47.
図書
Victor Isakov
48.
図書
by Kenneth S. Miller
出版情報:
New York : Prentice-Hall, 1953 viii, 254 p ; 22 cm
子書誌情報:
loading…
所蔵情報:
loading…
49.
図書
Heinrich G.W. Begehr and Abduhamid Dzhuraev
50.
図書
M.S. Agranovich, Yu.V. Egorov and M.A. Shubin (eds.)
目次情報:
続きを見る
Preface
Legal Matters
Introduction
Background on Probability and Statistics
Stochastic Differential Equations
Introduction to Discrete Time Approximation
Strong Approximations
Weak Approximations
Applications
References Subject
Index
List of PC-Exercises
Frequently Used Notations
Preface
Legal Matters
Introduction
51.
図書
S.L. Sobolev ; translated from the third Russian edition by E.R. Dawson ; English translation edited by T.A.A. Broadbent
52.
図書
Emmanuele DiBenedetto
出版情報:
Boston : Birkhäuser, 1995 xiv, 416 p. ; 25 cm
子書誌情報:
loading…
所蔵情報:
loading…
53.
図書
Jean Cea ... [et al.], editors
54.
図書
[by] I.G. Petrovskii
出版情報:
Londin : Iliffe Books, 1967 410 p ; 23 cm
子書誌情報:
loading…
所蔵情報:
loading…
55.
図書
Vladislav V. Kravchenko and Michael V. Shapiro
56.
図書
Günter Hellwig
57.
図書
edited by Paolo Marcellini, Giorgio Talenti, Edoardo Vesentini
目次情報:
続きを見る
Spatial decay estimates for an evolution equation
on the range of Ural'tseva's axially symmetric operator in Sobolev spaces
the use of a priori information in the solution of ill-posed problems
allocation maps with general cost functions
an elementary theorem in plane geometry and its multidimensional extension
minimum problems for volumes of convex bodies
on the continuous dependence of the solution of a linear parabolic partial differential equation on the boundary data and the
Spatial decay estimates for an evolution equation
on the range of Ural'tseva's axially symmetric operator in Sobolev spaces
the use of a priori information in the solution of ill-posed problems
58.
図書
Gerald B. Folland
出版情報:
Princeton, N.J. : Princeton University Press, c1995 xi, 324 p. ; 24 cm
子書誌情報:
loading…
所蔵情報:
loading…
59.
図書
M.A. Shubin (ed.)
60.
図書
John H. Hubbard, Beverly H. West
61.
図書
[by] Paul W. Berg [and] James L. McGregor
出版情報:
San Francisco : Holden-Day, 1964, c1963 [viii], 383 p. ; 26 cm
子書誌情報:
loading…
所蔵情報:
loading…
62.
図書
Willi-Hans Steeb
出版情報:
Singapore : World Scientific, c1996 xi, 360 p. ; 23 cm
子書誌情報:
loading…
所蔵情報:
loading…
63.
図書
par Maurice Janet
出版情報:
Paris : Secrétariat mathématique, 1957 47 leaves ; 27 cm
子書誌情報:
loading…
所蔵情報:
loading…
64.
図書
Peter Bradshaw, Tuncer Cebeci, James H. Whitelaw
出版情報:
London ; New York : Academic Press, 1981 xii, 331 p. ; 24 cm
子書誌情報:
loading…
所蔵情報:
loading…
65.
図書
B.A. Kupershmidt
66.
図書
Karl E. Gustafson
出版情報:
New York : Wiley, c1987 xix, 409 p. ; 25 cm
子書誌情報:
loading…
所蔵情報:
loading…
67.
図書
Aleksei A. Dezin ; translated from the Russian by Ralph P. Boas
68.
図書
Lars Hörmander
69.
図書
David L. Powers
出版情報:
New York : Academic Press, c1979 xi, 351 p. ; 25 cm
子書誌情報:
loading…
所蔵情報:
loading…
70.
図書
E. T. Copson
出版情報:
Cambridge ; New York : Cambridge University Press, 1975 vii, 280 p. ; 24 cm
子書誌情報:
loading…
所蔵情報:
loading…
目次情報:
続きを見る
Preface
Partial differential equations of the first order / 1:
Characteristics of equations of the second order / 2:
Boundary value and initial value problems / 3:
Equations of hyperbolic type / 4:
Reimann's method / 5:
The equation of wave motions / 6:
Marcel Riesz's method / 7:
Potential theory in the plane / 8:
Subharmonic functions and the problem of Dirichlet / 9:
Equations of elliptic type in the plane / 10:
Equations of elliptic type in space / 11:
The equation of heat / 12:
Appendix
Books for further reading
Index
Preface
Partial differential equations of the first order / 1:
Characteristics of equations of the second order / 2:
71.
図書
N.F. Britton
出版情報:
London ; Tokyo : Academic Press, 1986 ix, 277 p. ; 24 cm
子書誌情報:
loading…
所蔵情報:
loading…
目次情報:
続きを見る
Preface
Introduction
Systems of Ordinary Differential Equations
Conservative Systems
The Scalar Reaction-Diffusion Equation
Analytic Techniques for Systems of Parabolic Partial Differential Equations
Bifurcation Theory
Asymptotic Methods for Oscillatory Systems
Singular Perturbations
Macromolecular Carriers: Asymptotic Techniques
References
Index
Preface
Introduction
Systems of Ordinary Differential Equations
72.
図書
edited by K. Kasahara, Y. Ohya and N. Shimakura
出版情報:
Tokyo : Kinokuniya, c1986 2 v. ; 25 cm
子書誌情報:
loading…
所蔵情報:
loading…
73.
図書
by Zofia Szmydt and Bogdan Ziemian
74.
図書
V.V. Zharinov
75.
図書
Dominic G.B. Edelen & Jian-hua Wang
出版情報:
Singapore ; New Jersey : World Scientific, c1992 xii, 325 p. ; 23 cm
子書誌情報:
loading…
所蔵情報:
loading…
76.
図書
[by] M. G. Smith
77.
図書
United States. Office of Naval Research ; Aronszajn, Nachman, 1907- ; Morrey, C. B.
出版情報:
[Lawrence] : Dept. of Mathematics, University of Kansas, 1957 149 p.
子書誌情報:
loading…
所蔵情報:
loading…
78.
図書
L.A. Dickey
79.
図書
A. Thom and C.J. Apelt
出版情報:
London ; New York : Van Nostrand, c1961 vii,165 p ; 24 cm
子書誌情報:
loading…
所蔵情報:
loading…
80.
図書
Yu.V. Egorov, M.A. Shubin (eds.)
目次情報:
The Cauchy problem / S.G. Gindikin, L.R. Volevich
Qualitative theory of second order linear partial differential equations / V.A. Kondratʹev, E.M. Landis
The Cauchy problem / S.G. Gindikin, L.R. Volevich
Qualitative theory of second order linear partial differential equations / V.A. Kondratʹev, E.M. Landis
81.
図書
Richard S. Varga
出版情報:
Englewood Cliffs, N.J. : Prentice-Hall , Tokyo : Maruzen, 1964, c1962 xiii, 322 p. ; 22 cm
子書誌情報:
loading…
所蔵情報:
loading…
82.
図書
Heinrich Begehr and Robert P. Gilbert
83.
図書
by S. Gindikin and L.R. Volevich
84.
図書
François Treves
85.
図書
by S.D. Eidel'man ; translated from the Russian by Scripta Technica
出版情報:
Amsterdam : North Holland Publishing, 1969 469 p. ; 23cm
子書誌情報:
loading…
所蔵情報:
loading…
86.
図書
Guangchang Dong
目次情報:
続きを見る
The first boundary value problem for second-order quasilinear parabolic equations with principal part in divergence form
A periodic boundary value problem for a nonlinear telegraph equation
The initial value problem for a nonlinear Schrodinger equation
Multi-dimensional subsonic flows around an obstacle
The initial-boundary value problem for degenerate quasilinear parabolic equations
The speed of propagation of the solution of a degenerate quasilinear parabolic equation
Aleksandrov and Bony maximum principles for parabolic equations
The density theorem and its applications
Fully nonlinear parabolic equations
Fully nonlinear parabolic equations (continued)
The first boundary value problem for second-order quasilinear parabolic equations with principal part in divergence form
A periodic boundary value problem for a nonlinear telegraph equation
The initial value problem for a nonlinear Schrodinger equation
87.
図書
Yu.V. Egorov, M.A. Shubin (eds.)
88.
図書
Jeffrey Rauch
目次情報:
続きを見る
Power Series Methods
Some Harmonic Analysis
Solution of Initial Value Problems by Fourier Synthesis
Propagators and x-Space Methods
The Dirichlet Problem
Appendix: A Crash Course in Distribution Theory
References
Index
Power Series Methods
Some Harmonic Analysis
Solution of Initial Value Problems by Fourier Synthesis
89.
図書
B.D. Sleeman and R.J. Jarvis, editors
90.
図書
[by] G. A. Phillipson
91.
図書
A.V. Babin, M.I. Vishik, editors
目次情報:
続きを見る
Asymptotic expansion at infinity of a strongly perturbed Poiseuille flow / A. V. Babin
Unbounded attractors of evolution equations / V. V. Chepyzhov ; A. Yu. Goritskii
Attractors of singularly perturbed parabolic equations, and asymptotic behavior of their elements / M. Yu. Skvortsov ; M. I. Vishik
The asymptotics of solutions of reaction-diffusion equations with small parameter / V. Yu. Skvortsov
Asymptotic expansion at infinity of a strongly perturbed Poiseuille flow / A. V. Babin
Unbounded attractors of evolution equations / V. V. Chepyzhov ; A. Yu. Goritskii
Attractors of singularly perturbed parabolic equations, and asymptotic behavior of their elements / M. Yu. Skvortsov ; M. I. Vishik
92.
図書
A. V. Bitsadze ; Translated by P. Zador. Translation edited by I.N. Sneddon
出版情報:
Oxford ; New York : Pergamon Press; [distributed in the Western Hemisphere by Macmillan, New York], 1964 xiii, 160 p ; 23 cm
子書誌情報:
loading…
所蔵情報:
loading…
93.
図書
[by] R.J. Knops [and] L.E. Payne
94.
図書
Richard S. Varga
95.
図書
Elemér E. Rosinger
出版情報:
Amsterdam ; Tokyo : North-Holland , New York, N.Y. : Distributors for the United States and Canada, Elsevier Science Pub, 1990 xxi, 380 p. ; 25 cm
シリーズ名:
North-Holland mathematics studies ; 164
子書誌情報:
loading…
所蔵情報:
loading…
96.
図書
Donald Greenspan
97.
図書
Daniel D. Joseph
98.
図書
by V.I. Gorbachuk and M.L. Gorbachuk
99.
図書
R.L. Bryant ... [et al.]
100.
図書
N. Asano and Y. Kato