Calculus of Variations and Geometric Measure Theory
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T. Kuusi - G. Mingione

Riesz potentials and nonlinear parabolic equations

created by mingione on 04 Feb 2013
modified on 03 Apr 2014


Published Paper

Inserted: 4 feb 2013
Last Updated: 3 apr 2014

Journal: Arch. Rat. Mech. Anal.
Volume: 212
Pages: 727-780
Year: 2014


The spatial gradient of solutions to nonlinear degenerate parabolic equations can be pointwise estimated by the caloric Riesz potential of the right hand side datum, exactly as in the case of the heat equation. Heat kernels type estimates persist in the nonlinear case


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