Parabolic equations with measurable coefficients

Doyoon Kim; N. V. Krylov

doi:10.1016/j.jmaa.2006.12.077

Parabolic equations with measurable coefficients

偏微分方程分析 2015-06-26 v1

作者: Doyoon Kim , N. V. Krylov

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摘要

We investigate the unique solvability of second order parabolic equations in non-divergence form in $W_p^{1,2}((0,T) \times \bR^d)$ , $p \ge 2$ . The leading coefficients are only measurable in either one spatial variable or time and one spatial variable. In addition, they are VMO (vanishing mean oscillation) with respect to the remaining variables.

关键词

parabolic partial differential equations parabolic equations sobolev regularity of partial differential equations

引用

@article{arxiv.math/0604124,
  title  = {Parabolic equations with measurable coefficients},
  author = {Doyoon Kim and N. V. Krylov},
  journal= {arXiv preprint arXiv:math/0604124},
  year   = {2015}
}

备注

19 pages

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