Potential Analysis

, Volume 32, Issue 3, pp 229–273

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

  • Mirela Kohr
  • Cornel Pintea
  • Wolfgang L. Wendland
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
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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

Authors and Affiliations

  • Mirela Kohr
    • 1
  • Cornel Pintea
    • 1
  • Wolfgang L. Wendland
    • 2
  1. 1.Faculty of Mathematics and Computer ScienceBabeş-Bolyai UniversityCluj-NapocaRomania
  2. 2.Institut für Angewandte Analysis und Numerische SimulationUniversität StuttgartStuttgartGermany