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

作者：Kohr Mirela^*; Pintea Cornel; Wendland Wolfgang L

来源：Zeitschrift fur Angewandte Mathematik und Mechanik, 2013, 93(6-7): 446-458.

DOI：10.1002/zamm.201100194

• Pseudodifferential Brinkman operators
• Lipschitz domains
• compact Riemannian manifolds
• Dirichlet-transmission problem
• layer potential operators
• Sobolev and Besov spaces

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.

• 出版日期2013-6