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surv49-frnt.pdf
Frontmatter
Title
Copyright
Contents
Preface
PDE Examples by Type
Chapter I. Linear Problems...an Introduction
Chapter II. Nonlinear Stationary Problems
Chapter III. Nonlinear Evolution Problems
Chapter IV. Accretive Operators and Nonlinear Cauchy Problems
Endmatter
surv49-chI.pdf
Frontmatter
Chapter I. Linear Problems...an Introduction
I.1 Boundary Value Problems in 1-D
I.2 Variational Methods in Hilbert Space
I.3 Applications to Stretched String Problems
I.4 Unbounded operators
I.5 The Cauchy Problem
I.6 Wave Equations
Chapter II. Nonlinear Stationary Problems
Chapter III. Nonlinear Evolution Problems
Chapter IV. Accretive Operators and Nonlinear Cauchy Problems
Endmatter
surv49-chII.pdf
Frontmatter
Chapter I. Linear Problems...an Introduction
Chapter II. Nonlinear Stationary Problems
II.1 Banach Spaces
II.2 Existence Theorems
II.3 L^p Spaces
II.4 Sobolev Spaces
II.5 Elliptic Boundary-Value Problems
II.6 Variational Inequalities and Quasimonotone Operators
II.7 Convex functions
II.8 Examples
II.9 Elliptic Equations in L^1
Chapter III. Nonlinear Evolution Problems
Chapter IV. Accretive Operators and Nonlinear Cauchy Problems
Endmatter
surv49-chIII.pdf
Frontmatter
Chapter I. Linear Problems...an Introduction
Chapter II. Nonlinear Stationary Problems
Chapter III. Nonlinear Evolution Problems
III.1 Vector-valued Functions
III.2 Linear Evolution Equations
III.3 Linear Degenerate Equations
III.4 Nonlinear Parabolic Equations
III.5 Abstract Difference Approximations
III.6 Degenerate Parabolic Equations
III.7 Variational Inequalities
Chapter IV. Accretive Operators and Nonlinear Cauchy Problems
Endmatter
surv49-chIV.pdf
Frontmatter
Chapter I. Linear Problems...an Introduction
Chapter II. Nonlinear Stationary Problems
Chapter III. Nonlinear Evolution Problems
Chapter IV. Accretive Operators and Nonlinear Cauchy Problems
IV.1 Accretive Operators in Hilbert Space
IV.2 Examples of m-accretive Operators
IV.3 The Cauchy Problem in Hilbert Space
IV.4 Additional Topics and Evolution Equations
IV.5 Parabolic Equations and Inequalities
IV.6 Semilinear Degenerate Evolution Equations
IV.7 Accretive Operators in Banach Space
IV.8 The Cauchy Problem in General Banach Space
IV.9 Evolution Equations in L^1
Endmatter
surv49-bck.pdf
Frontmatter
Chapter I. Linear Problems...an Introduction
Chapter II. Nonlinear Stationary Problems
Chapter III. Nonlinear Evolution Problems
Chapter IV. Accretive Operators and Nonlinear Cauchy Problems
Endmatter
Appendix: Applications
A.1 Heat Conduction
A.2 Flow in Porous Media
A.3 Continuum Mechanics
Bibliography
Index
Nội dung
Monotone Operators
in Banach Space and
Nonlinear Partial
Differential Equations
R. E. Showalter
Mathematical
Surveys
and
Monographs
Volume 49
American Mathematical Society