Parabolic equations with measurable coefficients in $L_p$-spaces with mixed norms
Analysis of PDEs
2007-05-28 v1
Abstract
The unique solvability of parabolic equations in Sobolev spaces with mixed norms is presented. The second order coefficients (except ) are assumed to be only measurable in time and one spatial variable, and VMO in the other spatial variables. The coefficient is measurable in one spatial variable and VMO in the other variables.
Keywords
Cite
@article{arxiv.0705.3808,
title = {Parabolic equations with measurable coefficients in $L_p$-spaces with mixed norms},
author = {Doyoon Kim},
journal= {arXiv preprint arXiv:0705.3808},
year = {2007}
}