Functional Calculus of Pseudo-Differential Boundary Problems.

Grubb, Gerd.

ISBN 10: 0817633499 / ISBN 13: 9780817633493

Published by Boston / Basel / Stuttgart, Birkhäuser, 1986

About this Item

23.5 × 15 cm, hardcover, viii, 512, (2) pages (incl. bibliography & index), text in English, very good/ fine condition, see picture. Volume 65 in the series Progress in Mathematics (edited by J. Coates and S. Helgason). Advanced monograph on pseudo-differential operators and boundary value problems with applications in partial differential equations. ISBN's 0817633499 / 3764333499 820g.

Seller Inventory # 80642

Bibliographic Details

• Title: Functional Calculus of Pseudo-Differential Boundary Problems.
• Publisher: Boston / Basel / Stuttgart, Birkhäuser
• Publication Date: 1986
• Language: English
• ISBN 10: 0817633499
• ISBN 13: 9780817633493
• Binding: Hardcover
• Weight: 820 grams
• Seller catalogs:
  • Wiskunde

About this title

From the Back Cover

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 Many proofs have been replaced by new and simpler arguments, giving better results and clearer insights.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.

From a review of the first edition:

"The book is well written, and it will certainly be useful for everyone interested in boundary value problems and spectral theory."

-Mathematical Reviews, July 1988