The thin viscous flow equation in higher space dimensions (Q1977681)
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scientific article; zbMATH DE number 1449022
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The thin viscous flow equation in higher space dimensions |
scientific article; zbMATH DE number 1449022 |
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The thin viscous flow equation in higher space dimensions (English)
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11 February 2001
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There are proved local integral estimates for nonnegative solutions of the fourth-order degenerate parabolic equation \(u_t+ \text{div}(u^n\nabla\Delta u)= 0\) in space dimensions two and three. The estimates for solutions of the Cauchy problem and a growth estimate for their support are also proved.
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estimate of the growth of the solution support
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local integral estimates
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