Functional calculus of pseudodifferential boundary problems
著者
書誌事項
Functional calculus of pseudodifferential boundary problems
（Progress in mathematics, v. 65）
Birkhäuser, c1996
2nd ed
大学図書館所蔵 全56件
注記
Includes index
内容説明・目次
- 巻冊次
-
ISBN 9780817637385
内容説明
Pseudodifferential methods are central to the study of partial differential equations, because they permit an "algebraization." The main purpose of this book is to set up an operational calculus for operators defined from differential and pseudodifferential boundary values problems via a resolvent construction. A secondary purposed is to give a complete treatment of the properties of the calculus of pseudodifferential boundary problems with transmission, both the first version by Boutet de Monvel (brought completely up to date in this edition) and in version containing a parameter running in an unbounded set. And finally, the book presents some applications to evolution problems, index theory, fractional powers, spectral theory and singular perturbation theory. Thus the book's improved proofs and modern points of view will be useful to research mathematicians and to graduate students studying partial differential equations and pseudodifferential operators.
目次
1. Standard pseudodifferential boundary problems and their realizations.- 2. The calculus of parameter-dependent operators.- 3. Parametrix and resolvent constructions.- 4. Some applications.- Appendix. Various prerequisites.
- 巻冊次
-
ISBN 9783764337384
内容説明
The purpose of this text is to set up an operational calculus for operators defined from differential and pseudodifferential boundary value problems via a resolvent construction. It also aims to give a treatment of the properties of the calculus, and present such applications as spectral theory.
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