Article

Potential Analysis

, Volume 32, Issue 3, pp 229-273

First online:

Brinkman-type Operators on Riemannian Manifolds: Transmission Problems in Lipschitz and C 1 Domains

  • Mirela KohrAffiliated withFaculty of Mathematics and Computer Science, Babeş-Bolyai University Email author 
  • , Cornel PinteaAffiliated withFaculty of Mathematics and Computer Science, Babeş-Bolyai University
  • , Wolfgang L. WendlandAffiliated withInstitut für Angewandte Analysis und Numerische Simulation, Universität Stuttgart

Rent the article at a discount

Rent now

* Final gross prices may vary according to local VAT.

Get Access

Abstract

In this paper we use the method of boundary integral equations to treat some transmission problems for Brinkman-type operators on Lipschitz and C 1 domains in Riemannian manifolds.

Keywords

Brinkman operator Stokes operator Lipschitz and C 1 domains Riemannian manifold Transmission problem Layer potentials Sobolev spaces

Mathematics Subject Classifications (2000)

35J25 42B20 46E35 76D 76M