Analytic Semigroups and Semilinear Initial Boundary Value Problems
1st Edition
Published on 22. March 2011
978-0-511-89312-4 (ISBN)
Description
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 problems. This semigroup approach can be traced back to the pioneering work of Fujita and Kato on the Navier-Stokes equation. The author studies non homogeneous boundary value problems for second order elliptic differential operators, in the framework of Sobolev spaces of Lp style, which include as particular cases the Dirichlet and Neumann problems, and proves that these boundary value problems provide an example of analytic semigroups in Lp. This book will be a necessary purchase for researchers with an interest in analytic semigroups or initial value problems.
More details
Series
Language
English
Place of publication
Cambridge
United Kingdom
Publishing group
Cambridge University Press
Target group
Professional and scholarly
Illustrations
Worked examples or Exercises
File size
12,16 MB
ISBN-13
978-0-511-89312-4 (9780511893124)
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Schweitzer Classification
Other editions
Additional editions
Book
10/1995
Cambridge University Press
€55.70
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Person
Content
1. Theory of analytic semigroups; 2. Sobolev imbedding theorems; 3. Lp theory of pseud-differential operators; 4. Lp approach to elliptic boundary value problems; 5. Proof of theorem 1; 6. Proof of theorem 2; 7. Proof of theorems 3 and 4; Appendix: the maximum principle.
