内容简介
《线性算子半单群及其在偏微分方程中的应用》是一部关于线性算子半群理论及其在偏微分方程中应用的经典教科书，内容简明，书中着重介绍用于偏微分方程的实初始值问题，以及自治和非自治线性初始值问题用的抽象柯西问题。适用于数学及相关专业研究生。
目录
Preface to the Second Printing.
Preface to the First Printing
Chapter 1 Generation and Representation
1.1 Uniformly Continuous Semigroups of Bounded Linear Operators
1.2 Strongly Continuous Semigroups of Bounded Linear Operators
1.3 The Hille-Yosida Theorem
1.4 The Lumer Phillips Theorem
1.5 The Characterization of the Infinitesimal Generators of Co Semigroups
1.6 Groups of Bounded Operators
1.7 The Inversion of the Laplace Transform
1.8 Two Exponential Formulas
1.9 Pseudo Resolvents
1.10 The Dual Semigroup
Chapter 2 Spectral Properties and Regularity
2.1 Weak Equals Strong
2.2 Spectral Mapping Theorems
2.3 Semigroups of Compact Operators
2.4 Differentiability
2.5 Analytic Semigroups
2.6 Fractional Powers of Closed Operators
Chapter 3 Perturbations and Approximations
3.1 Perturbations by Bounded Linear Operators
3.2 Perturbations of Infinitesimal Generators of Analytic Semigr..
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