Uniqueness of semilinear elliptic inverse problem.
Qu, Chaochun, Wang, Ping (2003)
International Journal of Mathematics and Mathematical Sciences
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Qu, Chaochun, Wang, Ping (2003)
International Journal of Mathematics and Mathematical Sciences
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Li, Limei, Ma, Tian (2010)
Boundary Value Problems [electronic only]
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Uhlmann, Gunther (1998)
Documenta Mathematica
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Kozhevnikov, Alexander, Lepsky, Olga (2006)
Boundary Value Problems [electronic only]
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Yves Achdou, Christophe Sabot, Nicoletta Tchou (2006)
ESAIM: Mathematical Modelling and Numerical Analysis
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This paper is devoted to some elliptic boundary value problems in a self-similar ramified domain of with a fractal boundary. Both the Laplace and Helmholtz equations are studied. A generalized Neumann boundary condition is imposed on the fractal boundary. Sobolev spaces on this domain are studied. In particular, extension and trace results are obtained. These results enable the investigation of the variational formulation of the above mentioned boundary value problems. Next, for...
Dagmar Medková (2003)
Czechoslovak Mathematical Journal
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A necessary and sufficient condition for the continuous extendibility of a solution of the Neumann problem for the Laplace equation is given.