Quasilinear parabolic equations with VMO coefficients (Q2704784)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Quasilinear parabolic equations with VMO coefficients |
scientific article |
Statements
12 March 2001
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uniqueness and existence theorems
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quadratic growth with respect to the gradient
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Cauchy-Dirichlet problem
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regular oblique derivative problem
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discontinuous coefficients
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0.9671323
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0.94356835
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0.9364914
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0.9354068
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0.93527794
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0.9298404
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0.92979676
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0.9253007
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0.92058897
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Quasilinear parabolic equations with VMO coefficients (English)
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This paper deals with the Cauchy-Dirichlet problem and with the regular oblique derivative problem for quasilinear parabolic operators with discontinuous coefficients. To be more precise, the coefficients belong to the VMO class and the right hand side has a quadratic growth with respect to the gradient. Under several restrictions uniqueness and existence theorems in appropriate Sobolev spaces are proved.
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