A quasi-monotonicity formula and partial regularity for borderline solutions to a parabolic equation (Q619855)
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scientific article; zbMATH DE number 5838274
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A quasi-monotonicity formula and partial regularity for borderline solutions to a parabolic equation |
scientific article; zbMATH DE number 5838274 |
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A quasi-monotonicity formula and partial regularity for borderline solutions to a parabolic equation (English)
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18 January 2011
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A quasi-monotonicity formula for a local energy is derived for a supercritical parabolic equation with a source term containing a potential. The formula is then used to prove a partial regularity result for solutions which are on the boundary of the domain of attraction of zero.
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monotonicity of a local energy
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threshold solution
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supercritical parabolic equation
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