图书信息
图书目录
Banach空间中的单调算子与非线性偏微分方程（影印版）
暂无简介
作者：
R. E. Showalter
定价：
135.00 元
出版时间：
2026-03-26
ISBN：
978-7-04-066134-7
物料号：
66134-00
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
重点项目：
暂无
版面字数：
470.00千字
开本：
16开
装帧形式：
精装
版次：
1
最新版次印刷时间：
2026年
- 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
