Domain perturbation for linear and nonlinear parabolic equations (Q1923675)
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scientific article; zbMATH DE number 933280
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Domain perturbation for linear and nonlinear parabolic equations |
scientific article; zbMATH DE number 933280 |
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Domain perturbation for linear and nonlinear parabolic equations (English)
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21 August 1997
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The author discusses linear and nonlinear parabolic equations under Dirichlet boundary conditions on \(\Omega\). In particular, he proves continuous dependence under very general perturbations of \(\Omega\), and he does not require the equations to be autonomous. He also discusses the time periodic problem. Some of these results improve an earlier work of the reviewer [J. Differ. Equations 87, No. 2, 316-339 (1990; Zbl 0729.35050)].
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Dirichlet boundary conditions
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