Effect of a gradient term on the solvability of the heat equation with a supercritical reaction with respect to the Hardy potential (Q2923152)
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scientific article; zbMATH DE number 6355885
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Effect of a gradient term on the solvability of the heat equation with a supercritical reaction with respect to the Hardy potential |
scientific article; zbMATH DE number 6355885 |
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15 October 2014
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nonlinear parabolic problems
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entropy solution
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natural growth
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asymptotic behavior
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Effect of a gradient term on the solvability of the heat equation with a supercritical reaction with respect to the Hardy potential (English)
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The paper presents general solutions to the nonlinear parabolic equation. It considers the existence of the solution for regular data, followed by suitable a priori estimates, followed by a general solution with the general data using arguments of compactness. It also analyses the asymptotic behavior of the solution. Several theorems are stated and proved. The paper needs to consider a specific case to demonstrate the solution for a wide readership.
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