Duality in the spaces of solutions of elliptic systems
Mauro Nacinovich, Alexandre Shlapunov, Nikolai Tarkhanov (1998)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Mauro Nacinovich, Alexandre Shlapunov, Nikolai Tarkhanov (1998)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Jean-Pierre Aubin (1970)
Rendiconti del Seminario Matematico della Università di Padova
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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...
Wen, Guochun, Xu, Zuoliang, Yang, Fengmin (2009)
Boundary Value Problems [electronic only]
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Bernstein, Swanhild, Lanzani, Loredana (2002)
International Journal of Mathematics and Mathematical Sciences
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