Parabolic equations in time dependent Reifenberg domains (Q884440)

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scientific article; zbMATH DE number 5161832
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Parabolic equations in time dependent Reifenberg domains
scientific article; zbMATH DE number 5161832

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    Parabolic equations in time dependent Reifenberg domains (English)
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    6 June 2007
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    Uniformly parabolic divergence equations in a time dependent parabolic Reifenberg domain are investigated. It is shown that a unique weak solution satisfying a priori a Sobolev-type estimate exists. The result is obtained due to the condition of the smallness of coefficients.
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    maximal function
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    Vitali covering lemma
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    Sobolev-type estimate
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