Analytic semigroups and semilinear initial boundary value problems

This book provides a careful and accessible exposition of the function analytic approach to initial boundary value problems for semilinear parabolic differential equations. It focuses on the relationship between two interrelated subjects in analysis: analytic semigroups and initial boundary value pr...

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Bibliographic Details
Main Author: Taira, Kazuaki
Format: eBook
Language:English
Published: Cambridge Cambridge University Press 1995
Series:London Mathematical Society lecture note series
Subjects:
Online Access:
Collection: Cambridge Books Online - Collection details see MPG.ReNa
Table of Contents:
  • Ch. I. Theory of Analytic Semigroups
  • Ch. II. Sobolev Imbedding Theorems
  • Ch. III. L[superscript p] Theory of Pseudo-Differential Operators
  • Ch. IV. L[superscript p] Approach to Elliptic Boundary Value Problems
  • Ch. V. Proof of Theorem 1
  • Ch. VI. Proof of Theorem 2
  • Ch. VII. Proof of Theorems 3 and 4
  • Appendix: The Maximum Principle