Boundedness of global solutions of nonlinear diffusion equation with localized reaction term. (Q1413616)
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scientific article; zbMATH DE number 2004942
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Boundedness of global solutions of nonlinear diffusion equation with localized reaction term. |
scientific article; zbMATH DE number 2004942 |
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Boundedness of global solutions of nonlinear diffusion equation with localized reaction term. (English)
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17 November 2003
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Semilinear parabolic equations with nonlocal source terms and the homogeneous Dirichlet boundary condition are considered. For these equations blow-up in finite time occurs for some initial data. It is shown in the paper that if a solution exists globally then it is uniformly bounded which means that infinite time blow-up cannot occur.
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semilinear parabolic equation
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nonlocal source term
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boundedness of global solutions
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