Published Paper

Inserted: 27 oct 2016
Last Updated: 30 mar 2018

Journal: Nonlinear Analysis
Volume: 153
Year: 2017
Doi: 10.1016/j.na.2016.10.019

Abstract:

We consider solutions to singular parabolic equations with measurable dependence on the $(x, t)$ variables and having on the right-hand side a measure satisfying a density condition. We prove that the less the measure is concentrated, the more the gradient is regular, in the Marcinkiewicz scale. We provide local estimates and recover some classic results.

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