Article ID Journal Published Year Pages File Type
4611779 Journal of Differential Equations 2012 36 Pages PDF
Abstract

We consider parabolic equations of the type having a Radon measure on the right-hand side and prove fractional integrability and differentiability results of Calderón–Zygmund type for weak solutions. We extend some of the integrability results for elliptic equations achieved by G. Mingione (2007) [24], to the parabolic setting and locally recover the integrability results of L. Boccardo, A. DallʼAglio, T. Gallouët, and L. Orsina (1997) in [5].

Related Topics
Physical Sciences and Engineering Mathematics Analysis