Analytic Semigroups and Semilinear Initial Boundary Value Problems

Informationen zum Autor 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). Klappentext This second edition explores the relationship between elliptic and parabolic initial boundary value problems, for undergraduate and graduate students. Zusammenfassung 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. Inhaltsverzeichnis 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.

Dettagli sul prodotto

• Autori: Kazuaki Taira, Kazuaki (Waseda University Taira
• Editore: Cambridge University Press ELT
• Lingue: Inglese
• Formato: Tascabile
• Pubblicazione: 28.04.2016
• EAN: 9781316620861
• ISBN: 978-1-316-62086-1
• Pagine: 348
• Serie: London Mathematical Society Lecture Note Series; London Mathematical Society Le; London Mathematical Society Lecture Note Series; London Mathematical Society Le
• Categoria: Scienze naturali, medicina, informatica, tecnica > Matematica > Teoria delle probabilità, stocastica, statistica matematica