1. Calderón–Zygmund estimates for parabolic measure data equations
- Author
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Baroni, Paolo and Habermann, Jens
- Subjects
- *
PARABOLIC differential equations , *RADON measures , *ESTIMATION theory , *MATHEMATICAL proofs , *NUMERICAL solutions to elliptic differential equations , *CALDERON-Zygmund operator - Abstract
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) to the parabolic setting and locally recover the integrability results of L. Boccardo, A. DallʼAglio, T. Gallouët, and L. Orsina (1997) in . [Copyright &y& Elsevier]
- Published
- 2012
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