Nonelliptic Partial Differential Equations
This book provides a very readable description of a technique, developed by the author years ago but as current as ever, for proving that solutions to certain (non-elliptic) partial differential equations only have real analytic solutions when the data are real analytic (locally). The technique is completely elementary but relies on a construction, a kind of a non-commutative power series, to localize the analysis of high powers of derivatives in the so-called bad direction. It is hoped that th…
Read More ↓Title Statements
- Full title :Nonelliptic Partial Differential Equations.
Summary
This book provides a very readable description of a technique, developed by the author years ago but as current as ever, for proving that solutions to certain (non-elliptic) partial differential equations only have real analytic solutions when the data are real analytic (locally). The technique is completely elementary but relies on a construction, a kind of a non-commutative power series, to localize the analysis of high powers of derivatives in the so-called bad direction. It is hoped that this work will permit a far greater audience of researchers to come to a deep understanding of this tec.
Read More ↓Edition Statements
- Publication Date:2011.
Publication Statements
- Publisher(s):Springer New York
- Place of Publication:New York, NY
- Language:eng
- Publication Date:2011.
The Physical Object
- Description:1 online resource (203 pages).
Edition Identifiers
- ISBN:1441998128, 9781441998125
- DOI:10.1007/978-1-4419-9813-2
- oclc:ocn990469318
- LC Classification:QA374
- Dewey Decimal:515.353
Table of Contents
Nonelliptic Partial Differential Equations; Contents; Chapter 1 What This Book Is and Is Not; Chapter 2 Brief Introduction; Chapter 3 Overview of Proofs; Chapter 4 Full Proof for the Heisenberg Group; Chapter 5 Coefficients; Chapter 6 Pseudodifferential Problems; Chapter 7 General Sums of Squares of Real Vector Fields; Chapter 8 The -Neumann Problem and the Boundary Laplacianon Strictly Pseudoconvex Domains; Chapter 9 Symmetric Degeneracies; Chapter 10 Details of the Previous Chapter; Chapter 11 Nonsymplectic Strata and Germ Analytic Hypoellipticity.
Chapter 12 Operators of Kohn Type That Lose DerivativesChapter 13 Nonlinear Problems; Chapter 14 Treves' Approach; Chapter 15 Appendix; References.
Subjects
Writers
No reviews yet. Be the first to rate this work.
Related Works
more →
Nonlinear diffusion problems
Nonlinear diffusion problems
Langevin and Fokker-Planck equations and their generalizations: descriptions and solutions
Kwok, Sau Fa
Nonlinear partial differential equations for scientists and engineers
Debnath, Lokenath
Operator inequalities of the Jensen, Čebyšev and Grüss Type
Dragomir, Sever Silvestru
Rate & Review