Functional calculus of pseudo-differential boundary problems - Info and Reading Options
By Gerd Grubb
"Functional calculus of pseudo-differential boundary problems" was published by Birkhäuser in 1986 - Boston, the book is classified in bibliography genre, it has 511 pages and the language of the book is English.
“Functional calculus of pseudo-differential boundary problems” Metadata:
- Title: ➤ Functional calculus of pseudo-differential boundary problems
- Author: Gerd Grubb
- Language: English
- Number of Pages: 511
- Publisher: Birkhäuser
- Publish Date: 1986
- Publish Location: Boston
- Genres: bibliography
- Dewey Decimal Classification: 515.7/242
- Library of Congress Classification: QA329.7 .G78 1986QA329.7.G78 1986
“Functional calculus of pseudo-differential boundary problems” Subjects and Themes:
- Subjects: ➤ Boundary value problems - Pseudodifferential operators - Operatortheorie - Randwaardeproblemen - Problèmes aux limites - Opérateurs pseudo-différentiels - Pseudodifferentialoperator - Randwertproblem - Differential calculus - Partial Differential equations - Functional analysis - Mathematics - Differential Equations - Differential equations, partial - Ordinary Differential Equations
Edition Specifications:
- Number of Pages: vi, 511 p. ; 24 cm.
- Pagination: vi, 511 p. ;
Edition Identifiers:
- The Open Library ID: OL2726933M - OL2962890W
- Online Computer Library Center (OCLC) ID: 14097581
- Library of Congress Control Number (LCCN): 86020769 - ^^^86020769^
- ISBN-13: 9783764333492 - 9780817633493
- ISBN-10: 0817633499
- All ISBNs: 0817633499 - 9783764333492 - 9780817633493
AI-generated Review of “Functional calculus of pseudo-differential boundary problems”:
"Functional calculus of pseudo-differential boundary problems" Table Of Contents:
- 1- 1. Standard Pseudo
- 2- ifferential Boundary Problems and Their Realizations
- 3- 2. The Calculus of Parameter
- 4- ependent Operators
- 5- 3. Parametrix and Resolvent Constructions
- 6- 4. Some Applications.
"Functional calculus of pseudo-differential boundary problems" Description:
Harvard Library:
CHAPTER 1. STANDARD PSEUDO-DIFFERENTIAL BOUNDARY PROBLEMS AND THEIR REALIZATIONS 1. 1 Introductory remarks . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 14 1. 2 The calculus of pseudo-differential boundary problems . . •. 19 1. 3 Green's formula . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 35 1. 4 Realizations and normal boundary conditions . . . . . . . . . . . . . . 39 1. 5 Parameter-ellipticity and parabolicity . . . . . . . . . . . . . . . . . . . 50 1. 6 Adjoints . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 72 1. 7 Semiboundedness and coerciveness . . . . . . . . •. . . . . . . . . . . •. . . . 96 CHAPTER 2. THE CALCULUS OF PARAMETER-DEPENDENT OPERATORS 2. 1 Parameter-dependent pseudo-differential operators . . •. . . . . 125 2. 2 The transmission property . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 151 2. 3 Parameter-dependent boundary symbol s . . . . . . . . . . . . . . . . . . . . . 179 2. 4 Operators and kernels . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 198 2. 5 Continuity . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 225 2. 6 Composition of xn-independent boundary symbol operators . . 234 2. 7 Compositions in general . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 255 2. 8 Strictly homogeneous symbols . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 272 CHAPTER 3. PARAMETRIX AND RESOLVENT CONSTRUCTIONS 3. 1 Ellipticity. Auxiliary elliptic operators . . . . . . . . . . . . . . . . 280 3. 2 The parametrix construction . . . . . . . . . . •. . . . . . . . . . . . . . . . . . . 297 3. 3 The resolvent of a realization . . . . . . . . . . . . . . . . . . . . . . . . . . . 326 3. 4 Other special cases . . . . . . •. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 349 CHAPTER 4. SOME APPLICATIONS 4. 1 Evolution problems . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 359 4. 2 The heat operator . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 365 4. 3 An index formula . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 395 4. 4 Complex powers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 400 4. 5 Spectral asymptotics . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 415 4. 6 Implicit eigenvalue problems . . . . . . . . . . . . . . . . . . . . . . . •. . . . . 437 4. 7 Singular perturbations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 449 APPENDIX. VARIOUS PREREQUISITES (A. 1 General notation. A. 2 Functions and distributions. A. 3 Sobolev spaces. A. 4 Spaces over sub sets of mn. A. 5 Spaces over manifolds. A. 6 Notions from 473 spectral theory. ) '" . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . BIBLIOGRAPHY . . . •. . . . . . . •. . . . . . . . . . . . . . . •. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 497 INDEX . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
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- Harvard University Library: Location: Birkhoff Library, Harvard University - Cabot Science Library, Harvard University - Shelf Numbers: QA329.7 .G78 1986
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