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

Costabel, Martin; McIntosh, Alan

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

Date

2010

Authors

Costabel, Martin

McIntosh, Alan

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