On critical exponents for the heat equation with a mixed nonlinear Dirichlet-Neumann boundary condition (Q1359641)
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scientific article; zbMATH DE number 1031629
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On critical exponents for the heat equation with a mixed nonlinear Dirichlet-Neumann boundary condition |
scientific article; zbMATH DE number 1031629 |
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On critical exponents for the heat equation with a mixed nonlinear Dirichlet-Neumann boundary condition (English)
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22 October 1997
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The heat equation in an unbounded domain is considered. On a part of the boundary, a nonlinear Neumann boundary condition is imposed and on another part, the homogeneous Dirichlet boundary condition holds. Critical exponents for the existence of global positive solutions are found for a sectorial domain in the plane and for an \(n\)-dimensional orthant domain.
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unbounded domain
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nonlinear Neumann boundary condition
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blow-up
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homogeneous Dirichlet boundary condition
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global positive solutions
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