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1.

図書
図書
1. Basic theory
Michael E. Taylor
出版情報: New York ; Tokyo : Springer, c1996  xxi, 563 p. ; 25 cm
シリーズ名: Applied mathematical sciences ; v. 115 . Partial differential equations / Michael E. Taylor ; 1
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Volumes II and III
Introduction
Basic Theory of ODE and Vector Fields
The Laplace Equation and Wave Equation
Fourier Analysis, Distributions, and Constant-Coefficient Linear PDE
Sobolev Spaces
Linear Elliptic Equations
Linear Evolution Equations
Outline of Functional Analysis / Appendix A：
Manifolds, Vector Bundles, and Lie Groups / Appendix B：
Index
Volumes II and III
Introduction
Basic Theory of ODE and Vector Fields
2.

図書
図書
2. Qualitative studies of linear equations
Michael E. Taylor
出版情報: New York ; Tokyo : Springer, c1996  xxi, 528 p. ; 25 cm
シリーズ名: Applied mathematical sciences ; v. 116 . Partial differential equations / Michael E. Taylor ; 2
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Volumes I and III
Introduction
Pseudodifferential Operators
Spectral Theory
Scattering by Obstacles
Dirac Operators and Index Theory
Brownian Motion and Potential Theory
The Partial-Neumann Problem
Connections and Curvature
Index
Volumes I and III
Introduction
Pseudodifferential Operators
3.

図書
図書
3. Nonlinear equations
Michael E. Taylor
出版情報: New York ; Tokyo : Springer, c1996  xxi, 610 p. ; 25 cm
シリーズ名: Applied mathematical sciences ; v. 117 . Partial differential equations / Michael E. Taylor ; 3
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Function space and operator theory for nonlinear analysis / 13：
Nonlinear elliptic equations / 14：
Nonlinear parabolic equations / 15：
Nonlinear hyperbolic equations / 16：
Euler and Navier-Stokes equations for incompressible fluids / 17：
Einstein's equations / 18：
Function space and operator theory for nonlinear analysis / 13：
Nonlinear elliptic equations / 14：
Nonlinear parabolic equations / 15：
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