Geometric character of domain and the Harnack inequality of solution of a singular parabolic equation (Q2905562)
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scientific article; zbMATH DE number 6072853
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Geometric character of domain and the Harnack inequality of solution of a singular parabolic equation |
scientific article; zbMATH DE number 6072853 |
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Geometric character of domain and the Harnack inequality of solution of a singular parabolic equation (English)
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27 August 2012
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geometric character
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Harnack inequality
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singular parabolic equation
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The geometric character of domains of solutions of a singular parabolic equation with the Neumann boundary conditions is treated in this work. First, a gradient estimate and a Harnack-type inequality are proved. Then the author shows that the domains of the solutions are ``exactly columns'' in the space-time. Especially, the heights of the columns are calculated accurately.
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