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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. 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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4.

図書
図書
4. 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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5.

図書
図書
5. Hyperbolic equations and frequency interactions
Luis Caffarelli, Weinan E., editors
出版情報: Providence, R.I. : American Mathematical Society, c1999  xii, 466 p. ; 26 cm
シリーズ名: IAS/Park City mathematics series / [Dan Freed, series editor] ; v. 5
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Nonlinear Schrodinger equations: Introduction / J. Bourgain
Generalities and initial value problems
The initial value problem (continued)
A digressioin: The initial value problem for the KdV equation
1D invariant Gibbs measures
Invariant measures (2D)
Quasi-periodic solutions of Hamiltonian PDE
Time periodic solutions
Time quasi-periodic solutions
Normal forms
Applications of symplectic capacities to Hamiltonian PDE
Remarks on longtime behaviour of the flow of Hamiltonian PDE
Harmonic analysis, wavelets and applications: Introduction / I. C. Daubechies ; A. C. Gilbert
Constructing orthonormal wavelet bases: Multiresolution analysis
Wavelet bases: Construction and algorithms
More wavelet bases
Wavelets in other functional spaces
Pointwise convergence for wavelet expansions
Two-dimensional wavelets and operators
Wavelets and differential equations
References
Lectures on stability and instability of an ideal fluid: Introduction / S. Friedlander
Equations of motion
Initial-boundary value problem
The type of the Euler equations
Vorticity
Steady flows
Stability/instability of an equilibrium state
Two-dimensional spectral problem
"Arnold" criterion for nonlinear stability
Plane parallel shear flow
Instability in a vorticity norm
Sufficient condition for instability
Exponential stretching
Integrable flows
Baroclinic instability
Nonlinear instability
Waves and transport: Introduction / G. Papanicolaou ; L. Ryzhik
The Schrodinger equation
Symmetric hyperbolic systems
Waves in random media
The diffusion approximation
The geophysical applications
Lectures on geometric optics: Introduction / J. Rauch ; M. Keel
Basic linear existence theorems
Examples of propagation of singularities and of energy
Elliptic geometric optics
Linear hyperbolic geometric optics
Basic nonlinear existence theorems
One phase nonlinear geometric optics
Justification of one phase nonlinear geometric optics
Nonlinear Schrodinger equations: Introduction / J. Bourgain
Generalities and initial value problems
The initial value problem (continued)
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