Intrinsic Harnack inequalities for parabolic equations with variable exponents (Q1947412)
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scientific article; zbMATH DE number 6156235
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Intrinsic Harnack inequalities for parabolic equations with variable exponents |
scientific article; zbMATH DE number 6156235 |
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Intrinsic Harnack inequalities for parabolic equations with variable exponents (English)
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22 April 2013
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The author considers a class of parabolic equations with variable exponents. Such equations play an important role in describing the behaviour of electrorheological fluids. Several authors studied the regularity of these equations. Among them we quote Acerbi, Antonsev, Fan, Mingione and Rodrigues. In this paper, the author first proves suitable energy estimates for solutions to these equations. Then the author follows an approach due to DiBenedetto-Gianazza-Vespri and, via a measure theoretical argument, he derives intrinsic Harnack inequalities.
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measure theoretical argument
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electrorheological fluids
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0.9460742
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0.9373368
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0.93188757
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0.92831403
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