Critical exponent for the global existence of solutions to a semilinear heat equation with degenerate coefficients (Q1733110)
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scientific article; zbMATH DE number 7039869
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Critical exponent for the global existence of solutions to a semilinear heat equation with degenerate coefficients |
scientific article; zbMATH DE number 7039869 |
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Critical exponent for the global existence of solutions to a semilinear heat equation with degenerate coefficients (English)
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21 March 2019
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The authors investigate a non-homogeneous semilinear parabolic equation which has degenerate weights coeffients in two types. According to the models, they show the non-existence of nontrivial global-in-time solutions under the assumptions in Theorem 1.1, while they give also sufficient conditions for the existence of global in time solution (unique) in Theorem 1.2.
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semilinear parabolic equations
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critical exponent
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global in time solutions
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