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arXiv:1312.5044 [math.AP]AbstractReferencesReviewsResources

Partial regularity for parabolic systems with VMO-coefficients

Taku Kanazawa

Published 2013-12-18Version 1

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.

Comments: 16pages. arXiv admin note: text overlap with arXiv:1302.4148
Categories: math.AP
Subjects: 35K40, 35K55, 35K65
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