The Wolff gradient bound for degenerate parabolic equations

Tuomo Kuusi; Giuseppe Mingione

doi:10.4171/jems/449

JournalsjemsVol. 16, No. 4pp. 835–892

The Wolff gradient bound for degenerate parabolic equations

Tuomo Kuusi
Aalto University, Finland
- MathSciNet
- zbMATH Open
Giuseppe Mingione
Università di Parma, Italy
- MathSciNet
- zbMATH Open

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Abstract

The spatial gradient of solutions to non-homogeneous and degenerate parabolic equations of $p$ -Laplacean type can be pointwise estimated by natural Wolff potentials of the right hand side measure.

Cite this article

Tuomo Kuusi, Giuseppe Mingione, The Wolff gradient bound for degenerate parabolic equations. J. Eur. Math. Soc. 16 (2014), no. 4, pp. 835–892

DOI 10.4171/JEMS/449