Table of contents for Analytic semigroups and semilinear initial boundary value problems / Kazuaki Taira, Waseda University, Japan.


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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.


Library of Congress subject headings for this publication:
Differential equations, Parabolic.
Boundary value problems.
Semigroups.