Dirichlet-transmission problems for general Brinkman operators on Lipschitz and \(C^1\) domains in Riemannian manifolds
type: Item
instance of: scholarly article
title: Dirichlet-transmission problems for general Brinkman operators on Lipschitz and \(C^1\) domains in Riemannian manifolds
zbMATH Open document ID: 1223.58017
author: Mirela Kohr
author: Cornel Pintea
author: W. L. Wendland
published in: Discrete and Continuous Dynamical Systems. Series B
publication date: 2011-07-08T00:00:00Z
review text: In the interesting paper under review, the authors make use of a layer potential method in order to obtain solvability results in Sobolev spaces for a Dirichlet-transmission problem. These are given in terms of general Brinkman operators in the case when the solution is defined in two adjacent Lipschitz or \(C^1\)-domains over a Riemannian manifold, and the solution satisfies prescribed transmission conditions at the interface between these domains and an additional Dirichlet condition on an external boundary.
reviewed by: Dian K. Palagachev
Mathematics Subject Classification ID: 58J32
Mathematics Subject Classification ID: 42B20
Mathematics Subject Classification ID: 46E35
Mathematics Subject Classification ID: 58J05
Mathematics Subject Classification ID: 76D03
Mathematics Subject Classification ID: 31C12
zbMATH DE Number: 5919123
zbMATH Keywords: Brinkman operator
zbMATH Keywords: Stokes operator
zbMATH Keywords: Lipschitz and \(C^1\) domains
zbMATH Keywords: Riemannian manifold
zbMATH Keywords: Dirichlet-transmission problem
zbMATH Keywords: layer potential operators
MaRDI profile type: Publication
full work available at URL: dcdsb.2011.15.999
OpenAlex ID: W2316594846
DOI: 10.3934/DCDSB.2011.15.999
description: scientific article; zbMATH DE number 5919123