Functional Calculus of Pseudodifferential Boundary Problems / Edition 2

Functional Calculus of Pseudodifferential Boundary Problems / Edition 2

by Gerd Grubb
     
 

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ISBN-10: 0817637389

ISBN-13: 9780817637385

Pub. Date: 01/01/1996

Publisher: Birkhauser Verlag

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

Overview

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.

Product Details

ISBN-13:
9780817637385
Publisher:
Birkhauser Verlag
Publication date:
01/01/1996
Series:
Progress in Mathematics Series, #65
Edition description:
2nd ed. 1996
Pages:
526
Product dimensions:
6.10(w) x 9.25(h) x 0.36(d)

Table of Contents

Introduction.-Standard Pseudodifferential Boundary Problems and their Realizations.-The Calculus of Parameter-Dependent Operators.-Parametrix and Resolvent Constructions.-Some Applications.-Appendix: Various Prerequisites.-Bibliography.-Index.

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