Overview
Pseudodifferential methods are central to the study of partial differential equations, because they permit an ""algebraization."" A replacement of compositions of operators in n-space by simpler product rules for thier symbols. 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. In this second edition the author has extended the scope and applicability of the calculus wit original contributions and perspectives developed in the years since the first edition. A main improvement is the inclusion of globally estimated symbols, allowing a treatment of operators on noncompact manifolds. Many proofs have been replaced by new and simpler arguments, giving better results and clearer insights. The applications to specific problems have been adapted to use these improved and more concrete techniques. Interest continues to increase among geometers and operator theory specialists in the Boutet de Movel calculus and its various generalizations. 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.
Full Product Details
Author: Gerd Grubb
Publisher: Springer-Verlag New York Inc.
Imprint: Springer-Verlag New York Inc.
Edition: 2nd ed. 1996. Softcover reprint of the original 2nd ed. 1996
Volume: 65
Dimensions:
Width: 15.50cm
, Height: 2.80cm
, Length: 23.50cm
Weight: 0.819kg
ISBN: 9781461268956
ISBN 10: 1461268958
Pages: 526
Publication Date: 06 February 2013
Audience:
Professional and scholarly
,
Professional & Vocational
Format: Paperback
Publisher's Status: Active
Availability: Manufactured on demand
We will order this item for you from a manufactured on demand supplier.
Reviews
The book under review certainly belongs to the standard references in the theory of pseudodifferential operators. It is thoroughly written and offers a valuable source of information... --ZAA The book is well written, and it will certainly be useful for everyone interested in boundary value problems and spectral theory. --Mathematical Reviews (From a review of the first edition)
The book under review certainly belongs to the standard references in the theory of pseudodifferential operators. It is thoroughly written and offers a valuable source of information... --ZAA The book is well written, and it will certainly be useful for everyone interested in boundary value problems and spectral theory. --Mathematical Reviews (From a review of the first edition)
