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1.

図書
図書
1. Harmonic analysis and partial differential equations : essays in honor of Alberto P. Calderón (: cloth ; : pbk)
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
2. Infinite dimensional optimization and control theory (: pbk)
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
3. Partial differential equations and boundary value problems (: hbk)
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
4. Selected papers : œuvres scientifiques (: set - 3)
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
5. Partial differential equations
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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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
6. Partial differential equations
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
7. Applied partial differential equations (: hardcover ; : softcover)
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
8. Topics in nonlinear analysis : the Herbert Amann anniversary volume (: sz ; : us)
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
9. Partial differential equations in Clifford analysis
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
10. Asymptotic methods for partial differential equations (: gw ; : softcover)
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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