Improved estimates for parabolic \(p\)-Laplace type equations (Q905249)
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scientific article; zbMATH DE number 6532739
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Improved estimates for parabolic \(p\)-Laplace type equations |
scientific article; zbMATH DE number 6532739 |
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Improved estimates for parabolic \(p\)-Laplace type equations (English)
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19 January 2016
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The author considers nonlinear parabolic \(p\)-Laplace type equations and obtains estimates improving similar estimates in the celebrated monograph by E. DiBenedetto. Thanks to these estimates, the author gets local ``entropy'' estimates for the gradients of sign-variable solutions. The author uses the entropy estimates to prove the existence of the Cauchy problem in the entire space with sign-variable initial data.
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parabolic \(p\)-Laplace
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Cauchy problem
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sign-variable initial data
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