Approximation of degenerate parabolic systems by nondegenerate elliptic and parabolic systems (Q1382291)
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scientific article; zbMATH DE number 1133183
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Approximation of degenerate parabolic systems by nondegenerate elliptic and parabolic systems |
scientific article; zbMATH DE number 1133183 |
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Approximation of degenerate parabolic systems by nondegenerate elliptic and parabolic systems (English)
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16 August 1998
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Existence of a weak solution is proved for a class of mixed Neumann-Dirichlet problems for a degenerate parabolic system of partial differential equations. The proof is based on a temporal discretization which produces a nondegenerate elliptic system at each time step. It is also shown that if the weak solution is a unique function \(u\), then it is possible to construct a sequence of nondegenerate parabolic systems for which the weak solutions converge to \(u\).
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semidiscretization
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weak solution
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mixed Neumann-Dirichlet problems
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degenerate parabolic system
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