@Article{ATA-36-161,
author = {Dong , Hongjie},
title = {Recent Progress in the $L_p$ Theory for Elliptic and Parabolic Equations with Discontinuous Coefficients},
journal = {Analysis in Theory and Applications},
year = {2020},
volume = {36},
number = {2},
pages = {161--199},
abstract = {<p style="text-align: justify;">In this paper, we review some results over the last 10-15 years on elliptic and parabolic equations with discontinuous coefficients. We begin with an approach given by N. V. Krylov to parabolic equations in the whole space with $\rm{VMO}_x$ coefficients. We then discuss some subsequent development including elliptic and parabolic equations with coefficients which are allowed to be merely measurable in one or two space directions, weighted $L_p$&nbsp;estimates with Muckenhoupt ($A_p$)<sub> </sub>weights, non-local elliptic and parabolic equations, as well as fully nonlinear elliptic and parabolic equations.</p>},
issn = {1573-8175},
doi = {https://doi.org/10.4208/ata.OA-0021},
url = {http://global-sci.org/intro/article_detail/ata/17129.html}
}