Functional calculus of pseudodifferential boundary problems

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Bibliographic Information

Functional calculus of pseudodifferential boundary problems

Gerd Grubb

（Progress in mathematics, v. 65）

Birkhäuser, c1996

2nd ed

Available at  / 56 libraries

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Includes index

Description and Table of Contents

Volume

ISBN 9780817637385

Description

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.

Table of Contents

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.
Volume

ISBN 9783764337384

Description

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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