Analytic semigroups and semilinear initial boundary value problems /

A careful and accessible exposition of a functional analytic approach to initial boundary value problems for semilinear parabolic differential equations, with a focus on the relationship between analytic semigroups and initial boundary value problems. This semigroup approach is distinguished by the...

Full description

Bibliographic Details
Main Author: Taira, Kazuaki (Author)
Format: Book
Language:English
Published: Cambridge : Cambridge University Press, 2016
Edition:Second edition
Series:London Mathematical Society lecture note series ; 434
Subjects:
Table of Contents:
  • Introduction and Main Results
  • Preliminaries from Functional Analysis
  • Theory of Analytic Semigroups
  • Sobolev Imbedding Theorems
  • LpTheory of Pseudo-Differential Operators
  • Lp Approach to Elliptic Boundary Value Problems
  • Proof of Theorem 1.1
  • Proof of Theorem 1.2
  • Proof of Theorems 1.3 and 1.4