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arXiv · 1102.0585

Higher regularity of Holder continuous solutions of parabolic equations with singular drift velocities

Susan Friedlander·Vlad Vicol
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Abstract

Motivated by an equation arising in magnetohydrodynamics, we prove that Holder continuous weak solutions of a nonlinear parabolic equation with singular drift velocity are classical solutions. The result is proved using the space-time Besov spaces introduced by Chemin and Lerner, combined with energy estimates, without any minimality assumption on the Holder exponent of the weak solutions.

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Susan Friedlander, Vlad Vicol. 2011-02-02. Higher regularity of Holder continuous solutions of parabolic equations with singular drift velocities. https://doi.org/10.1007/s00021-011-0054-1

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