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

Kohr M. | Zendy; Pintea C. | Zendy; Wendland W.L. | Zendy

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

Author(s) -

Kohr M.,

Pintea C.,

Wendland W.L.

Publication year - 2013

Publication title -

zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.449

H-Index - 51

eISSN - 1521-4001

pISSN - 0044-2267

DOI - 10.1002/zamm.201100194

Subject(s) - sobolev space , lipschitz continuity , pseudodifferential operators , mathematics , besov space , dirichlet distribution , mathematical analysis , pure mathematics , transmission (telecommunications) , interpolation space , functional analysis , computer science , telecommunications , biochemistry , chemistry , gene , boundary value problem

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 L p , Sobolev, or Besov scales are also obtained.

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