@mathematik

Dirichlet-transmission problems for pseudodifferential Brinkman operators on Sobolev and Besov spaces associated to Lipschitz domains in Riemannian manifolds

, , and . ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik (2013)

Abstract

In this paper we use a layer potential analysis to show the existence of solutions for a Dirichlet-transmission problem for pseudodifferential Brinkman operators on Sobolev and Besov spaces associated to Lipschitz domains in compact boundaryless Riemannian manifolds. Compactness and invertibility properties of corresponding layer potential operators on Lp, Sobolev, or Besov scales are also obtained.

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DOI:
10.1002/zamm.201100194
URL:
BibTeX key:
kohr2013dirichlettransmission
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