Global existence and blow-up of solutions to a nonlocal quasilinear degenerate parabolic system (Q885310)
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scientific article; zbMATH DE number 5162694
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Global existence and blow-up of solutions to a nonlocal quasilinear degenerate parabolic system |
scientific article; zbMATH DE number 5162694 |
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Global existence and blow-up of solutions to a nonlocal quasilinear degenerate parabolic system (English)
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8 June 2007
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The paper studies the properties of nonnegative solutions of a kind of a quasilinear degenerate parabolic system with zero Dirichlet boundary conditions in a smooth bounded domain \(\Omega\subset {\mathbb R}^N\) \((N\geq 1).\) Under appropriate hypotheses it is established the local existence and uniqueness of solutions, then there are shown conditions under which the solution blows up in finite time.
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nonlinear source
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zero Dirichlet boundary conditions
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