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

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