Gradient estimates for solutions of parabolic equations and systems (Q920281)
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scientific article; zbMATH DE number 4163354
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Gradient estimates for solutions of parabolic equations and systems |
scientific article; zbMATH DE number 4163354 |
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Gradient estimates for solutions of parabolic equations and systems (English)
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1990
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The authors establish global \(L^ p\)-bounds \[ \| \nabla u(\cdot,t)\|_ p\leq e^{-\alpha t}\| \nabla u_ 0\|_ p\quad (0<t<\infty) \] for the solution u of quasilinear equations and systems with initial condition \(u|_{t=0}=u_ 0\). Some effort is done to present also estimates for \(\alpha\).
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gradient estimates
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decay
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global \(L^ p\)-bounds
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initial condition
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