Kazuaki Taira (Japan Waseda University)

Analytic Semigroups and Semilinear Initial Boundary Value Problems

• Broschiertes Buch

Produktbeschreibung

A careful and accessible exposition of a functional analytic approach to initial boundary value problems for semilinear parabolic differential equations. This second edition explores the relationship between elliptic and semilinear parabolic initial boundary value problems, focusing on the study of analytic semigroups. It is ideal for advanced undergraduate and graduate students.

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Produktdetails

• London Mathematical Society Lecture Note Series
• Verlag: Cambridge University Press
• 2 Revised edition
• Seitenzahl: 348
• Erscheinungstermin: 6. Juni 2016
• Englisch
• Abmessung: 226mm x 150mm x 20mm
• Gewicht: 514g
• ISBN-13: 9781316620861
• ISBN-10: 1316620867
• Artikelnr.: 45192283

Autorenporträt

Kazuaki Taira is a part-time professor at Waseda University, Japan. He previously worked as a professor of mathematics at Hiroshima University from 1995 until 1998 and at the University of Tsukuba from 1998 until 2009. Taira has authored many books, the most recent being the second edition of Semigroups, Boundary Value Problems and Markov Processes (2014).

Inhaltsangabe

1. Introduction and main results
2. Preliminaries from functional analysis
3. Theory of analytic semigroups
4. Sobolev imbedding theorems
5. Lp theory of pseudo-differential operators
6. Lp approach to elliptic boundary value problems
7. Proof of theorem 1.1
8. Proof of theorem 1.2
9. Proof of theorems 1.3 and 1.4
Appendix A. The Laplace Transform
Appendix B. The Maximum Principle
Appendix C. Vector bundles
References
Index.