Parabolic equations in Reifenberg domains (Q1776130)
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scientific article; zbMATH DE number 2170068
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Parabolic equations in Reifenberg domains |
scientific article; zbMATH DE number 2170068 |
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Parabolic equations in Reifenberg domains (English)
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20 May 2005
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The authors prove Sobolev-type estimates for weak solutions of inhomogeneous parabolic equations in divergence form in a bounded cylinder \(\Omega\times(0,T]\) which is \(\delta\)-Reifenberg flat in the space direction. The principal coefficients of the operator are assumed to be in BMO space with their BMO semi-norms small enough.
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parabolic equations, weak solutions, Reifenberg domain, BMO
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small BMO coefficients
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Sobolev-type estimates
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