Calculus of Variations and Geometric Measure Theory
home | mail | papers | authors | news | seminars | events | open positions | login

P. Baroni

Singular parabolic equations, measures satisfying density conditions, and gradient integrability

created by baroni on 27 Oct 2016

[BibTeX]

Submitted Paper

Inserted: 27 oct 2016
Last Updated: 27 oct 2016

Year: 2016

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.


Download:

Credits | Cookie policy | HTML 5 | CSS 2.1