On explicit and numerical solvability of parabolic initial-boundary value problems.
Kozhevnikov, Alexander, Lepsky, Olga (2006)
Boundary Value Problems [electronic only]
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Displaying similar documents to “The Dirichlet boundary conditions and related natural boundary conditions in strengthened Sobolev spaces for discretized parabolic problems.”
On explicit and numerical solvability of parabolic initial-boundary value problems.
On the solution of elliptic partial differential equations with an unbounded Dirichlet integral
Nečas, J.
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Some modifications of Sobolev spaces and non-linear boundary value problems
Kufner, A.
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Moving Dirichlet boundary conditions
Robert Altmann (2014)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
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This paper develops a framework to include Dirichlet boundary conditions on a subset of the boundary which depends on time. In this model, the boundary conditions are weakly enforced with the help of a Lagrange multiplier method. In order to avoid that the ansatz space of the Lagrange multiplier depends on time, a bi-Lipschitz transformation, which maps a fixed interval onto the Dirichlet boundary, is introduced. An inf-sup condition as well as existence results are presented for a class...
Regularity properties of semilinear boundary problems in Besov and Triebel-Lizorkin spaces
Jon Johnsen (1995)
Journées équations aux dérivées partielles
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Diffusion and propagation problems in some ramified domains with a fractal boundary
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...