The Dirichlet problem for the Laplacian in bounded and unbounded domains : a new approach to weak, strong and (2+k)-solutions in Sobolev-type spaces
著者
書誌事項
The Dirichlet problem for the Laplacian in bounded and unbounded domains : a new approach to weak, strong and (2+k)-solutions in Sobolev-type spaces
(Pitman research notes in mathematics series, 360)
Longman, c1996
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注記
Bibliography: p. 291-294
内容説明・目次
内容説明
The Dirichlet Problem -?u=f in G, u|?G=0 for the Laplacian in a domain GIRn with boundary ?G is one of the basic problems in the theory of partial differential equations and it plays a fundamental role in mathematical physics and engineering.
目次
Preface. Introduction. Sobolev-Type Spaces for the Weak Dirichlet Problem in Lq. The Weak Dirichlet Problem for ? in Lq in Bounded andExterior Domains. Strong Solutions of the Dirichlet Problem In Exterior Domains. (2+k)-Solutions of the Dirichlet Problem in Exterior Domains. Appendix. List of Systems and Notations. Bibliography.
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