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

Moritz Egert (LM-Orsay); Olli Saari; Pascal Auscher (LM-Orsay); Simon Bortz

arxiv: 1706.08432 · v3 · pith:6Q35B3V4new · submitted 2017-06-26 · 🧮 math.AP · math.CA

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

Pascal Auscher (LM-Orsay) , Simon Bortz , Moritz Egert (LM-Orsay) , Olli Saari This is my paper

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keywords solutionsweakcoefficientsparabolicregularitysystemscontinuousdepending

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

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