Calderón-Zygmund estimates for parabolic measure data equations

created by baroni on 28 Sep 2012

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Published Paper

Inserted: 28 sep 2012
Last Updated: 28 sep 2012

Journal: J. Differential Equations
Volume: 212
Number: 1
Pages: 412-447
Year: 2012

Abstract:

We consider parabolic equations of the type $u_t - \text{div}\, a(x,t,Du) = \mu$ having a Radon measure on the right--hand side and prove fractional integrability and differentiability results of Calder\'on-Zygmund type for weak solutions.