Nonsmooth pseudodifferential boundary value problems on manifolds

被引：3

作者：

Abels, Helmut ^{[1
]}

Neira Jimenez, Carolina ^{[2
]}

机构：

[1] Univ Regensburg, Fak Math, D-93040 Regensburg, Germany

[2] Univ Nacl Colombia, Dept Matemat, Carrera 30 45-03, Bogota, Colombia

来源：

JOURNAL OF PSEUDO-DIFFERENTIAL OPERATORS AND APPLICATIONS | 2019年 / 10卷 / 02期

关键词：

Pseudodifferential boundary value problems; Nonsmooth pseudodifferential operators; Coordinate changes;

D O I：

10.1007/s11868-018-0268-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study pseudodifferential boundary value problems in the context of the Boutet de Monvel calculus or Green operators, with nonsmooth coefficients on smooth compact manifolds with boundary. In order to have a definition that is independent of the choice of (smooth) coordinates, we prove that nonsmooth Green operators are invariant under smooth coordinate transformations.

引用

页码：415 / 453

页数：39

共 50 条

[1] Nonsmooth pseudodifferential boundary value problems on manifolds
Helmut Abels
Carolina Neira Jiménez
Journal of Pseudo-Differential Operators and Applications, 2019, 10 : 415 - 453
[2] Spectral Invariance of Pseudodifferential Boundary Value Problems on Manifolds with Conical Singularities
Lopes, Pedro T. P.
Schrohe, Elmar
JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS, 2019, 25 (03) : 1147 - 1202
[3] Spectral Invariance of Pseudodifferential Boundary Value Problems on Manifolds with Conical Singularities
Pedro T. P. Lopes
Elmar Schrohe
Journal of Fourier Analysis and Applications, 2019, 25 : 1147 - 1202
[4] Boundary value problems and integral equations for some classes of pseudodifferential equations in nonsmooth domains
Vasil'ev, VB
DIFFERENTIAL EQUATIONS, 1998, 34 (09) : 1188 - 1199
[5] Model Elliptic Boundary-Value Problems for Pseudodifferential Operators in Canonical Nonsmooth Domains
Vasilyev V.B.
Journal of Mathematical Sciences, 2018, 234 (4) : 397 - 406
[6] Pseudodifferential methods for boundary value problems
Epstein, Charles L.
PSEUDO-DIFFERENTIAL OPERATORS: PARTIAL DIFFERENTIAL EQUATIONS AND TIME-FREQUENCY ANALYSIS, 2007, 52 : 171 - 200
[7] ADJOINT PROBLEMS TO ELLIPTIC PSEUDODIFFERENTIAL BOUNDARY VALUE PROBLEMS
DIKANSKII, AS
DOKLADY AKADEMII NAUK SSSR, 1971, 200 (05): : 1020 - +
[8] EIGENVALUES OF PSEUDODIFFERENTIAL BOUNDARY-VALUE PROBLEMS
GRUBB, G
COMPTES RENDUS HEBDOMADAIRES DES SEANCES DE L ACADEMIE DES SCIENCES SERIE A, 1978, 286 (04): : 199 - 201
[9] On the analysis of boundary value problems in nonsmooth domains
Fremiot, Gilles
Horn, Werner
Laurain, Antoine
Rao, Murali
Sokolowski, Jan
DISSERTATIONES MATHEMATICAE, 2009, (462) : 7 - +
[10] Boundary value problems for elliptic pseudodifferential operators II
Taira, K
PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 1997, 127 : 395 - 405

← 1 2 3 4 5 →