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.
Riesz potentials and nonlinear parabolic equations / T., Kuusi; Mingione, Giuseppe. - In: ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS. - ISSN 0003-9527. - 212:3(2014), pp. 727-780. [10.1007/s00205-013-0695-8]
Riesz potentials and nonlinear parabolic equations
MINGIONE, Giuseppe
2014-01-01
Abstract
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.File in questo prodotto:
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