**Paolo Baroni** ^{[1]}

*Nonlinear parabolic equations with Morrey data*

**Pages:** 65-92

**Received:** 19 April 2013

**Accepted:** 30 July 2013

**Mathematics Subject Classification (2010):** 35R06, 35B65, 35K55.

**Keywords:** Calderón-Zygmund estimates, measure data problems, Morrey spaces.

**Author address:**

[1] : Department of Mathematics, Uppsala Universitet, Lägerhyddsvägen 1, Uppsala, SE-751 06, Sweden

**Abstract:**
We make a short survey of how the heuristic principle

about measure data problems can be implemented for elliptic and parabolic equations of \(p\)-Laplacian type, both in terms of integrability and differentiability properties. Moreover we prove improved fractional differentiability for the gradient to solution to parabolic equations with linear growth, in the case of Morrey measure data.

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