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Strong solutions for two-sided parabolic variational inequalities related to an elliptic part of p-Laplacian type - MaRDI portal

Strong solutions for two-sided parabolic variational inequalities related to an elliptic part of p-Laplacian type (Q692840)

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scientific article; zbMATH DE number 6113163
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English
Strong solutions for two-sided parabolic variational inequalities related to an elliptic part of p-Laplacian type
scientific article; zbMATH DE number 6113163

    Statements

    Strong solutions for two-sided parabolic variational inequalities related to an elliptic part of p-Laplacian type (English)
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    6 December 2012
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    Summary: A class of parabolic variational inequalities with two obstacles related to an elliptic part of \(p\)-Laplacian type is considered. A result of existence and uniqueness of strong solutions is given. Moreover, some estimates of Lewy-Stampacchia's type are obtained for these solutions, which can be used in order to get regularity results.
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    variational inequalities
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    two obstacles
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    elliptic part of \(p\)-Laplacian type
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    elliptic regularization method
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    Lewy-Stampacchia's type estimates
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