Dirichlet-transmission problems for pseudodifferential Brinkman operators
on Sobolev and Besov spaces associated to Lipschitz domains in Riemannian
manifolds
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.
%0 Journal Article
%1 kohr2013dirichlettransmission
%A Kohr, M.
%A Pintea, C.
%A Wendland, Wolfgang L.
%D 2013
%J ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift
für Angewandte Mathematik und Mechanik
%K Besov Brinkman Dirichlet-transmission Lipschitz Pseudodifferential Riemannian Sobolev and compact domains, layer manifolds, operators, potential problem, spaces. vorlaeufig
%P 446-458
%R 10.1002/zamm.201100194
%T Dirichlet-transmission problems for pseudodifferential Brinkman operators
on Sobolev and Besov spaces associated to Lipschitz domains in Riemannian
manifolds
%U http://dx.doi.org/10.1002/zamm.201100194
%V 93
%X 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.
@article{kohr2013dirichlettransmission,
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.},
added-at = {2018-07-20T10:54:15.000+0200},
author = {Kohr, M. and Pintea, C. and Wendland, Wolfgang L.},
biburl = {https://puma.ub.uni-stuttgart.de/bibtex/2dc38376bf7860c4fe03db35f36425dd6/mhartmann},
doi = {10.1002/zamm.201100194},
interhash = {4b459931efee9dae6b660e7e30dbf7a3},
intrahash = {dc38376bf7860c4fe03db35f36425dd6},
issn = {1521-4001},
journal = {ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift
f{\"u}r Angewandte Mathematik und Mechanik},
keywords = {Besov Brinkman Dirichlet-transmission Lipschitz Pseudodifferential Riemannian Sobolev and compact domains, layer manifolds, operators, potential problem, spaces. vorlaeufig},
pages = {446-458},
timestamp = {2018-07-20T08:54:15.000+0200},
title = {Dirichlet-transmission problems for pseudodifferential Brinkman operators
on Sobolev and Besov spaces associated to Lipschitz domains in Riemannian
manifolds},
url = {http://dx.doi.org/10.1002/zamm.201100194},
volume = 93,
year = 2013
}
