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arXiv · 1706.08432

On regularity of weak solutions to linear parabolic systems with measurable coefficients

Pascal Auscher·Simon Bortz·Moritz Egert·Olli Saari
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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.

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Pascal Auscher, Simon Bortz, Moritz Egert, Olli Saari. 2017-06-26. On regularity of weak solutions to linear parabolic systems with measurable coefficients. https://arxiv.org/abs/1706.08432

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