Analytic Semigroups and Semilinear Initial Boundary Value Problems
eBook - PDF

Analytic Semigroups and Semilinear Initial Boundary Value Problems

  1. English
  2. PDF
  3. Available on iOS & Android
eBook - PDF

Analytic Semigroups and Semilinear Initial Boundary Value Problems

About this book

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 extensive use of the ideas and techniques characteristic of the recent developments in the theory of pseudo-differential operators, one of the most influential works in the modern history of analysis. Complete with ample illustrations and additional references, this new edition offers both streamlined analysis and better coverage of important examples and applications. A powerful method for the study of elliptic boundary value problems, capable of further extensive development, is provided for advanced undergraduates or beginning graduate students, as well as mathematicians with an interest in functional analysis and partial differential equations.

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Yes, you can access Analytic Semigroups and Semilinear Initial Boundary Value Problems by Kazuaki Taira in PDF and/or ePUB format, as well as other popular books in Mathematics & Differential Equations. We have over one million books available in our catalogue for you to explore.

Information

Table of contents

  1. Cover
  2. Series page
  3. Title page
  4. Copyright page
  5. Dedication
  6. Contents
  7. Preface to the Second Edition
  8. Preface to the First Edition
  9. 1 Introduction and Main Results
  10. 2 Preliminaries from Functional Analysis
  11. 3 Theory of Analytic Semigroups
  12. 4 Sobolev Imbedding Theorems
  13. 5 L[sup(p)] Theory of Pseudo-Differential Operators
  14. 6 L[sup(p)] Approach to Elliptic Boundary Value Problems
  15. 7 Proof of Theorem 1.1
  16. 8 Proof of Theorem 1.2
  17. 9 Proof of Theorems 1.3 and 1.4
  18. Appendix A The Laplace Transform
  19. Appendix B The Maximum Principle
  20. Appendix C Vector Bundles
  21. References
  22. Index