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

页数：

296

最新
印次时间：

2026年03月

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

目录
- 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