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