Boundedness of the gradient for a doubly nonlinear parabolic equation (Q986579)
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| Language | Label | Description | Also known as |
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| English | Boundedness of the gradient for a doubly nonlinear parabolic equation |
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Boundedness of the gradient for a doubly nonlinear parabolic equation (English)
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11 August 2010
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The author proves the local boundedness of the gradient for positive solutions to a doubly nonlinear parabolic equation in the case when the standard Lebesgue measure has been replaced by a doubling measure which supports a weak Poincaré inequality. The author proves this result using Moser's iteration technique and the reverse Hölder inequality.
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higher regularity
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Caccioppoli inequality
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Moser's iteration
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reverse Hölder inequality
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