Local and global boundedness for some nonlinear parabolic equations exhibiting a time singularity. (Q504271)

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scientific article; zbMATH DE number 6674872
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Local and global boundedness for some nonlinear parabolic equations exhibiting a time singularity.
scientific article; zbMATH DE number 6674872

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    Local and global boundedness for some nonlinear parabolic equations exhibiting a time singularity. (English)
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    13 January 2017
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    In this paper the Authors consider doubly nonlinear operators in measure spaces equipped with a doubling non-trivial Borel measure supporting a weak Poincaré inequality. They prove local and global boundness of non-negative weak solutions giving a complete and definitive answer to this problem. The result is based on suitable energy estimates and depends on the dimension of the Borel measure.
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    doubly nonlinear operators
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    local boundness
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    measure space
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    energy estimates
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