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

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 operator Stokes operator Lipschitz and C1 domains Riemannian manifold Transmission problem Layer potentials Sobolev spaces 

Mathematics Subject Classifications (2000)

35J25 42B20 46E35 76D 76M 

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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

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