A robin-neumann problem in bounded domains with splitting boundary
作者:
K. Doppel,
B. Schomburg,
期刊:
Numerical Functional Analysis and Optimization
(Taylor Available online 1989)
卷期:
Volume 10,
issue 1-2
页码: 65-76
ISSN:0163-0563
年代: 1989
DOI:10.1080/01630568908816291
出版商: Marcel Dekker, Inc.
数据来源: Taylor
摘要:
We consider a mixed boundary-value problem for the homogeneous Laplace equation in a bounded domain which boundary splits up into two disjoint smooth components. On the one boundary component we pose a homogeneous Robin condition and an inhomogeneous Neumann condition on the other. We give a weak formulation, interpret this problem as a generalized spectral (eigenvalue) problem in the sense of F.Stummel (cf.[12]) and investigate existence, uniqueness and regularity of weak solutions. This problem is a cut-off version of a basic problem in water-wave theory (cf.Ramm [8], pp.394-395, Simon/Ursell [10] Stoker [11])
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