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.
Singular parabolic equations, measures satisfying density conditions, and gradient integrability / Baroni, Paolo. - In: NONLINEAR ANALYSIS. - ISSN 0362-546X. - 153:(2017), pp. 89-116. [10.1016/j.na.2016.10.019]
Singular parabolic equations, measures satisfying density conditions, and gradient integrability
BARONI, PAOLO
2017-01-01
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.File in questo prodotto:
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