On regularity of weak solutions to parabolic systems

Pascal Auscher, Simon Bortz, Moritz Egert, Olli Saari

Type: Preprint

Publication Date: 2017-06-09

Citations: 3

Abstract

We establish a new regularity property for weak solutions of parabolic systems with coefficients depending measurably on time as well as on all spatial variables. Namely, weak solutions are locally H{o}lder continuous Lp valued functions for some p > 2.

Locations

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Works Cited by This (15)

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+	An $L^p$ -estimate for the gradient of solutions of second order elliptic divergence equations	1963	Norman G. Meyers
+	Function Spaces and Potential Theory	1996	David R. Adams Lars Inge Hedberg
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+ PDF Chat	On the nonlinear parabolic systems in divergence form. Hölder continuity and partial Hölder continuity of the solutions	1984	Sergio Campanato
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+ PDF Chat	Partial regularity for the solutions to nonlinear parabolic systems	1973	Mariano Giaquinta Enrico Giusti
+	On the H�lder continuity of bounded weak solutions of quasilinear parabolic systems	1981	Michaël Struwe
+	Hardy-Littlewood inequality for quasiregular mappings in certain domains in R^n	1985	Tadeusz Iwaniec Craig A. Nolder
+	On the partial regularity of weak solutions of nonlinear parabolic systems	1982	Mariano Giaquinta Michaël Struwe
+	A Characterization of Parabolic Function Spaces	1977	V. R. Gopala Rao