Partial regularity for parabolic systems with VMO-coefficients
Analysis of PDEs
2013-12-19 v1
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.
Cite
@article{arxiv.1312.5044,
title = {Partial regularity for parabolic systems with VMO-coefficients},
author = {Taku Kanazawa},
journal= {arXiv preprint arXiv:1312.5044},
year = {2013}
}
Comments
16pages. arXiv admin note: text overlap with arXiv:1302.4148