Analytic Semigroups and Semilinear Initial Boundary Value Problems

ISBN-13: 9781316620861 / Miękka / 2016 / 348 str.

Opis

This second edition explores the relationship between elliptic and parabolic initial boundary value problems, for undergraduate and graduate students.

Spis treści

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.