Partial regularity for parabolic systems with VMO-coefficients

Taku Kanazawa

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arXiv · 1312.5044

Partial regularity for parabolic systems with VMO-coefficients

Taku Kanazawa

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Abstract

We establish partial regularity for vector-valued solutions to parabolic systems where the coefficients are possibly discontinuous with respect to (x,t). More precisely, we assume a VMO-condition with respect to the (x,t) and continuity with respect to u and prove H\"older continuity of the solutions outside of singular sets.

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Taku Kanazawa. 2013-12-18. Partial regularity for parabolic systems with VMO-coefficients. https://arxiv.org/abs/1312.5044

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