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Regularity of solutions of boundary value problems for a parabolic equation with coefficients growing near the boundary - MaRDI portal

Regularity of solutions of boundary value problems for a parabolic equation with coefficients growing near the boundary (Q630259)

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scientific article; zbMATH DE number 5866999
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Regularity of solutions of boundary value problems for a parabolic equation with coefficients growing near the boundary
scientific article; zbMATH DE number 5866999

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    Regularity of solutions of boundary value problems for a parabolic equation with coefficients growing near the boundary (English)
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    17 March 2011
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    This paper concerns existence and uniqueness for Dirichlet problems and skew derivative problems for second-order linear parabolic equations in weighted Hölder spaces. The lower-order coefficients and the right-hand side are allowed to increase in a certain manner close to the parabolic boundary, and the leading order coefficients may not satisfy the Dini condition near this boundary.
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    Dirichlet problems
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    skew derivative problems
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    weighted Hölder spaces
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    Dini condition
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