On Bogovskii and regularized Poincare integral operators for de Rham complexes on Lipschitz domains

Date

2010

Authors

Costabel, Martin
McIntosh, Alan

Journal Title

Journal ISSN

Volume Title

Publisher

Springer

Abstract

We study integral operators related to a regularized version of the classical Poincaré path integral and the adjoint class generalizing Bogovskiǐ's integral operator, acting on differential forms in ℝn. We prove that these operators are pseudodifferen

Description

Keywords

Keywords: Differential forms; Exterior derivative; Lipschitz domain; Pseudodifferential operator; Sobolev spaces

Citation

Source

Mathematische Zeitschrift

Type

Journal article

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License Rights

Restricted until

2037-12-31