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1.

図書

図書
edited by Michael Christ, Carlos E. Kenig, and Cora Sadosky
出版情報: Chicago, Ill. : University of Chicago Press, 1999  xv, 355 p. ; 24 cm
シリーズ名: Chicago lectures in mathematics
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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:
2.

図書

図書
H.O. Fattorini
出版情報: Cambridge : Cambridge University Press, 1999  xv, 798 p. ; 25 cm
シリーズ名: Encyclopedia of mathematics and its applications / edited by G.-C. Rota ; v. 62
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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:
3.

図書

図書
by Viorel Barbu
出版情報: Dordrecht : Kluwer, c1998  xii, 277 p. ; 25 cm
シリーズ名: Mathematics and its applications ; v. 441
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4.

図書

図書
Jean Leray ; [editor, Paul Malliavin]
出版情報: Berlin : Springer, 1998 , Paris : Société mathématique de France, c1998  3 v. ; 25 cm
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5.

図書

図書
Harold Levine
出版情報: Providence, R.I. : American Mathematical Society , [Cambridge] : International Press, c1997  xviii, 706 p. ; 27 cm
シリーズ名: AMS/IP studies in advanced mathematics ; v. 6
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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
6.

図書

図書
Lawrence C. Evans
出版情報: Providence, R.I. : American Mathematical Society, c1998  xvii, 662 p. ; 27 cm
シリーズ名: Graduate studies in mathematics ; v. 19
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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
7.

図書

図書
J. David Logan
出版情報: New York : Springer, c1998  xii, 181 p. ; 24 cm
シリーズ名: Undergraduate texts in mathematics
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8.

図書

図書
Joachim Escher, Gieri Simonett editors
出版情報: Basel : Birkhäuser, c1999  ix, 744 p. ; 24 cm
シリーズ名: Progress in nonlinear differential equations and their applications / editor, Haim Brezis ; v. 35
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9.

図書

図書
Elena Obolashvili
出版情報: Harlow : Longman, 1998  152 p. ; 25 cm
シリーズ名: Pitman monographs and surveys in pure and applied mathematics ; v. 96
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10.

図書

図書
M.V. Fedoryuk (ed.)
出版情報: Berlin : Springer-Verlag, c1999  247 p. ; 25 cm
シリーズ名: Encyclopaedia of mathematical sciences / editor-in-chief, R.V. Gamkrelidze ; v. 34 . Partial differential equations ; 5
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11.

図書

図書
Kazuaki Taira
出版情報: Berlin : Wiley-VCH, c1998  215 p. ; 24 cm
シリーズ名: Mathematical research ; vol. 106
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12.

図書

図書
Victor Isakov
出版情報: New York : Springer, c1998  xi, 284 p. ; 25 cm
シリーズ名: Applied mathematical sciences ; v. 127
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13.

図書

図書
Heinrich G.W. Begehr and Abduhamid Dzhuraev
出版情報: Harlow : Longman, 1997  454 p. ; 24 cm
シリーズ名: Pitman monographs and surveys in pure and applied mathematics ; 88
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14.

図書

図書
M.S. Agranovich, Yu.V. Egorov and M.A. Shubin (eds.)
出版情報: Berlin ; New York : Springer-Verlag, c1997  281 p. ; 25 cm
シリーズ名: Encyclopaedia of mathematical sciences / editor-in-chief, R.V. Gamkrelidze ; v. 79 . Partial differential equations ; 9
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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
15.

図書

図書
Emmanuele DiBenedetto
出版情報: Boston : Birkhäuser, 1995  xiv, 416 p. ; 25 cm
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16.

図書

図書
Jean Cea ... [et al.], editors
出版情報: Boston : Birkhäuser, 1996  xxii, 263 p. ; 25 cm
シリーズ名: Progress in nonlinear differential equations and their applications / editor, Haim Brezis ; v. 22
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17.

図書

図書
Vladislav V. Kravchenko and Michael V. Shapiro
出版情報: Harlow : Longman, 1996  247 p. ; 25 cm
シリーズ名: Pitman research notes in mathematics series ; 351
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18.

図書

図書
edited by Paolo Marcellini, Giorgio Talenti, Edoardo Vesentini
出版情報: New York : Marcel Dekker, c1996  xv, 364 p. ; 26 cm
シリーズ名: Lecture notes in pure and applied mathematics ; v. 177
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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
19.

図書

図書
Gerald B. Folland
出版情報: Princeton, N.J. : Princeton University Press, c1995  xi, 324 p. ; 24 cm
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20.

図書

図書
M.A. Shubin (ed.)
出版情報: Berlin ; Tokyo : Springer-Verlag, c1996  258 p. ; 25 cm
シリーズ名: Encyclopaedia of mathematical sciences / editor-in-chief, R.V. Gamkrelidze ; v. 65 . Partial differential equations ; 8
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21.

図書

図書
John H. Hubbard, Beverly H. West
出版情報: New York : Springer-Verlag, c1995  xiv, 601 p. ; 25 cm
シリーズ名: Texts in applied mathematics ; 18 . Differential equations : a dynamical systems approach ; pt. 2
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22.

図書

図書
Willi-Hans Steeb
出版情報: Singapore : World Scientific, c1996  xi, 360 p. ; 23 cm
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23.

図書

図書
by Zofia Szmydt and Bogdan Ziemian
出版情報: Dordrecht ; Boston : Kluwer Academic Publishers, c1992  xiv, 223 p. ; 25 cm
シリーズ名: Mathematics and its applications ; . East European series ; v. 56
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24.

図書

図書
V.V. Zharinov
出版情報: Singapore : World Scientific, c1992  x, 360 p. ; 23 cm
シリーズ名: Series on Soviet and East European Mathematics ; v. 9
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25.

図書

図書
Dominic G.B. Edelen & Jian-hua Wang
出版情報: Singapore ; New Jersey : World Scientific, c1992  xii, 325 p. ; 23 cm
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26.

図書

図書
L.A. Dickey
出版情報: Singapore : World Scientific, c1991  ix, 310 p. ; 23 cm
シリーズ名: Advanced series in mathematical physics / editor-in-charge, D.H. Phong, S.-T. Yan ; v. 12
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27.

図書

図書
Yu.V. Egorov, M.A. Shubin (eds.)
出版情報: Berlin ; Tokyo : Springer-Verlag, c1991  197 p. ; 25 cm
シリーズ名: Encyclopaedia of mathematical sciences ; v. 32 . Partial differential equations ; 3
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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
28.

図書

図書
Heinrich Begehr and Robert P. Gilbert
出版情報: Harlow, Essex, England : Longman Scientific & Technical , New York, NY : Wiley, 1992-  v. ; 25 cm
シリーズ名: Pitman monographs and surveys in pure and applied mathematics ; 58, 59
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29.

図書

図書
by S. Gindikin and L.R. Volevich
出版情報: Dordrecht ; Boston : Kluwer Academic Publishers, c1992  x, 266 p. ; 25 cm
シリーズ名: Mathematics and its applications ; . Soviet series ; 86
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30.

図書

図書
François Treves
出版情報: Princeton, N.J. : Princeton University Press, c1992  xvii, 497 p. ; 25 cm
シリーズ名: Princeton mathematical series ; 40
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31.

図書

図書
Guangchang Dong
出版情報: Providence, Rhode Island : American Mathematical Society, c1991  vii, 251 p. ; 26 cm
シリーズ名: Translations of mathematical monographs ; v. 95
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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
32.

図書

図書
Yu.V. Egorov, M.A. Shubin (eds.)
出版情報: Berlin ; New York : Springer-Verlag, c1992  259 p. ; 24 cm
シリーズ名: Encyclopaedia of mathematical sciences ; v. 30 . Partial differential equations ; 1
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33.

図書

図書
Jeffrey Rauch
出版情報: New York ; Tokyo : Springer-Verlag, c1991  x, 263 p. ; 25 cm
シリーズ名: Graduate texts in mathematics ; 128
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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
34.

図書

図書
B.D. Sleeman and R.J. Jarvis, editors
出版情報: Harlow : Longman Scientific & Technical, 1991  219 p. ; 25 cm
シリーズ名: Pitman research notes in mathematics series ; 254
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35.

図書

図書
A.V. Babin, M.I. Vishik, editors
出版情報: Providence, R.I. : American Mathematical Society, c1992  viii, 172 p. ; 26 cm
シリーズ名: Advances in Soviet mathematics ; v. 10
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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
36.

図書

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
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37.

図書

図書
Daniel D. Joseph
出版情報: New York ; Tokyo : Springer-Verlag, c1990  xvii, 755 p. ; 25 cm
シリーズ名: Applied mathematical sciences ; v. 84
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38.

図書

図書
by V.I. Gorbachuk and M.L. Gorbachuk
出版情報: Dordrecht [Netherlands] ; Boston : Kluwer Academic Publishers, c1991  xi, 347 p. ; 25 cm
シリーズ名: Mathematics and its applications ; . Soviet series ; v. 48
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39.

図書

図書
R.L. Bryant ... [et al.]
出版情報: New York : Springer-Verlag, c1991  vii, 475 p. ; 25 cm
シリーズ名: Mathematical Sciences Research Institute publications ; 18
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40.

図書

図書
N. Asano and Y. Kato
出版情報: Harlow : Longman Scientific & Technical , New York : Wiley, 1990  xvii, 417 p. ; 24 cm
シリーズ名: Pitman monographs and surveys in pure and applied mathematics ; v. 49
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41.

図書

図書
John H. Hubbard, Beverly H. West
出版情報: New York ; Tokyo : Springer-Verlag, c1991  xviii, 350 p. ; 25 cm
シリーズ名: Texts in applied mathematics ; 5 . Differential equations : a dynamical systems approach ; pt. 1
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目次情報: 続きを見る
Series Preface for Texts in Applied Mathematics Preface Acknowledgments Ways to Use This Book Introduction
Qualitative Methods / Chapter 1:
Fields of Slopes and Sketching of Solutions / 1.1:
Qualitative Description of Solutions / 1.2:
Fences / 1.3:
Funnels and Antifunnels / 1.4:
The Use of Fences, Funnels, and Antifunnels Exercises / 1.5:
Analystic Methods / Chapter 2:
Separation of Variables / 2.1:
Linear Differential Equations of First Order / 2.2:
Variation of Parameters / 2.3:
Bank Accounts and Linear Differential Equations / 2.4:
Series Preface for Texts in Applied Mathematics Preface Acknowledgments Ways to Use This Book Introduction
Qualitative Methods / Chapter 1:
Fields of Slopes and Sketching of Solutions / 1.1:
42.

図書

図書
John M. Rassias
出版情報: Singapore : World Scientific, c1990  vii, 144 p. ; 23 cm
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43.

図書

図書
Victor Isakov
出版情報: Providence, R.I. : American Mathematical Society, c1990  xiv, 191 p. ; 26 cm
シリーズ名: Mathematical surveys and monographs ; no. 34
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Preliminaries Results overlook
Uniqueness theorems
Singular points of the exterior potential
Existence theory
Parabolic problems
Hyperbolic problems
Preliminaries Results overlook
Uniqueness theorems
Singular points of the exterior potential
44.

図書

図書
Lars Hörmander
出版情報: Berlin ; New York : Springer-Verlag, 1990  xi, 440 p. ; 25 cm
シリーズ名: Die Grundlehren der mathematischen Wissenschaften ; 275
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45.

図書

図書
J. Kevorkian
出版情報: Pacific Grove, Calif. : Wadsworth & Brooks/Cole Advanced Books & Software, c1990  xiv, 547 p. ; 25 cm
シリーズ名: The Wadsworth & Brooks/Cole mathematics series
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目次情報: 続きを見る
Preface
The Diffusion Equation
Laplace's Equation
The Wave Equation
Linear Second-Order Equations with Two Independent Variables
The Scalar Quasilinear First-Order Equation
Nonlinear First-Order Equations
Quasilinear Hyperbolic Systems
Approximate Solutions by Perturbation Methods
Appendix
References
Index
Preface
The Diffusion Equation
Laplace's Equation
46.

図書

図書
edited by Boris A. Kupershmidt
出版情報: Singapore : World Scientific, c1990  viii, 388 p. ; 23 cm
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47.

図書

図書
Lars Hörmander
出版情報: Amsterdam ; New York ; Tokyo : North-Holland , New York, N.Y. : Distributors for the United States and Canada, Elsevier Science, 1990  xii, 254 p. ; 23 cm
シリーズ名: North-Holland mathematical library ; v. 7
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Analytic Functions of One Complex Variable / I:
Elementary Properties of Functions of Several Complex Variables / II:
Applications to Commutative Banach Algebras / III:
L 2 Estimates and Existence Theorems for the Operator / IV:
Stein Manifolds / V:
Local Properties of Analytic Functions / VI:
Coherent Analytic Sheaves on Stein Manifolds / VII:
Bibliography
Index
Analytic Functions of One Complex Variable / I:
Elementary Properties of Functions of Several Complex Variables / II:
Applications to Commutative Banach Algebras / III:
48.

図書

図書
G.M. Khenkin (ed.)
出版情報: Berlin ; New York : Springer-Verlag, c1993  286 p. ; 24 cm
シリーズ名: Encyclopaedia of mathematical sciences / editor-in-chief, R.V. Gamkrelidze ; v. 54 . Several complex variables ; 5
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49.

図書

図書
A.V. Bitsadze
出版情報: Singapore : World Scientific, c1994  xiii, 227 p. ; 23 cm
シリーズ名: Series on Soviet and East European Mathematics ; v. 2
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50.

図書

図書
Otto Liess
出版情報: Berlin ; New York : Springer-Verlag, c1993  x, 389 p. ; 24 cm
シリーズ名: Lecture notes in mathematics ; 1555
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