Nonlinear potential estimates in parabolic problems

Tuomo Kuusi; Giuseppe Mingione

doi:10.4171/rlm/593

JournalsrlmVol. 22, No. 2pp. 161–174

Nonlinear potential estimates in parabolic problems

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

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Abstract

We report on some recent result allowing to get pointwise bounds for the spatial gradient of solutions to degenerate and singular parabolic equations via linear and nonlinear potentials of the data.

Cite this article

Tuomo Kuusi, Giuseppe Mingione, Nonlinear potential estimates in parabolic problems. Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. 22 (2011), no. 2, pp. 161–174

DOI 10.4171/RLM/593