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

被引：24

作者：

Kohr, Mirela ^{[1
]}

Pintea, Cornel ^{[1
]}

Wendland, Wolfgang L. ^{[2
]}

机构：

[1] Univ Babes Bolyai, Fac Math & Comp Sci, Cluj Napoca 400084, Romania

[2] Univ Stuttgart, Inst Angew Anal & Numer Simulat, D-70569 Stuttgart, Germany

来源：

POTENTIAL ANALYSIS | 2010年 / 32卷 / 03期

关键词：

Brinkman operator; Stokes operator; Lipschitz and C-1 domains; Riemannian manifold; Transmission problem; Layer potentials; Sobolev spaces; BOUNDARY INTEGRAL-EQUATIONS; CONTINUOUS METRIC TENSORS; POTENTIAL-THEORY; DIRICHLET PROBLEM; POISSON PROBLEM; STOKES SYSTEM; POROUS BODY; SOBOLEV; SPACES; DINI;

D O I：

10.1007/s11118-009-9151-7

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：229 / 273

页数：45

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