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arXiv · 1912.07449

Note on time-regularity for weak solutions to parabolic systems of p-Laplace type

Simon Bortz·Moritz Egert·Olli Saari
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Abstract

We show that local weak solutions to parabolic systems of p-Laplace type are H{\"o}lder continuous in time with values in a spatial Lebesgue space and H{\"o}lder continuous on almost every time line. We provide an elementary and self-contained proof building on the local higher integrability result of Kinnunen and Lewis.

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Simon Bortz, Moritz Egert, Olli Saari. 2019-12-16. Note on time-regularity for weak solutions to parabolic systems of p-Laplace type. https://arxiv.org/abs/1912.07449

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