English

$L_p$-estimates for time fractional parabolic equations with coefficients measurable in time

Analysis of PDEs 2019-01-03 v2

Abstract

We establish the LpL_p-solvability for time fractional parabolic equations when coefficients are merely measurable in the time variable. In the spatial variables, the leading coefficients locally have small mean oscillations. Our results extend a recent result in [6] to a large extent.

Keywords

Cite

@article{arxiv.1806.02635,
  title  = {$L_p$-estimates for time fractional parabolic equations with coefficients measurable in time},
  author = {Hongjie Dong and Doyoon Kim},
  journal= {arXiv preprint arXiv:1806.02635},
  year   = {2019}
}

Comments

Minor revision. Accepted for publication in Advances in Mathematics