Potential Analysis

, Volume 32, Issue 3, pp 229–273

Brinkman-type Operators on Riemannian Manifolds: Transmission Problems in Lipschitz and C1 Domains

Authors

    • Faculty of Mathematics and Computer ScienceBabeş-Bolyai University
  • Cornel Pintea
    • Faculty of Mathematics and Computer ScienceBabeş-Bolyai University
  • Wolfgang L. Wendland
    • Institut für Angewandte Analysis und Numerische SimulationUniversität Stuttgart
Article

DOI: 10.1007/s11118-009-9151-7

Cite this article as:
Kohr, M., Pintea, C. & Wendland, W.L. Potential Anal (2010) 32: 229. doi:10.1007/s11118-009-9151-7

Abstract

In this paper we use the method of boundary integral equations to treat some transmission problems for Brinkman-type operators on Lipschitz and C1 domains in Riemannian manifolds.

Keywords

Brinkman operatorStokes operatorLipschitz and C1 domainsRiemannian manifoldTransmission problemLayer potentialsSobolev spaces

Mathematics Subject Classifications (2000)

35J2542B2046E3576D76M

Copyright information

© Springer Science+Business Media B.V. 2009