Banach空间中的单调算子与非线性偏微分方程（影印版）

样章

作者：

R. E. Showalter

定价：

135.00 元

版面字数：

470.00千字

开本：

16开

装帧形式：

精装

版次：

最新版次
印刷时间：

2026年

ISBN：

978-7-04-066134-7

物料号：

66134-00

出版时间：

2026-03-26

读者对象：

学术著作

一级分类：

自然科学

二级分类：

数学与统计

三级分类：

分析

暂无

前辅文
Preface
PDE Examples by Type
Chapter I. Linear Problems ... an Introduction
- I.1 Boundary-Value Problems in 1-D
- I.2 Variational Method 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
- II.1 Banach Spaces
- II.2 Existence Theorems
- II.3 LP 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 L1
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
- 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 L1
Appendix: Applications
- A.1 Heat Conduction
- A.2 Flow in Porous Media
- A.3 Continuum Mechanics
Bibliography
Index