Riesz Potentials and Nonlinear Parabolic Equations

By Tuomo Kuusi, Giuseppe Mingione. 2013

88 citations recorded by the source corpus.

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.

Subfields: Applied Mathematics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/91a4dfd3c006da1e92cba47f720c8f37a45ba2ee