Boundary characteristic point regularity for semilinear reaction-diffusion equations: towards an ODE criterion (Q393303)
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scientific article; zbMATH DE number 6246928
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| English | Boundary characteristic point regularity for semilinear reaction-diffusion equations: towards an ODE criterion |
scientific article; zbMATH DE number 6246928 |
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Boundary characteristic point regularity for semilinear reaction-diffusion equations: towards an ODE criterion (English)
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17 January 2014
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The boundary characteristic point regularity for semilinear reaction-diffusion equations with homogeneous Dirichlet conditions is considered. It is shown that Petrovskii regularity criterion for the heat equations can be generalized at the case of semilinear parabolic equation. Blow-up approach was applied for this purpose.
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Petrovskii regularity criterion
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homogeneous Dirichlet conditions
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