Solvability of second-order equations with hierarchically partially BMO coefficients
Analysis of PDEs
2012-02-02 v1
Abstract
By using some recent results for divergence form equations, we study the -solvability of second-order elliptic and parabolic equations in nondivergence form for any . The leading coefficients are assumed to be in locally BMO spaces with suitably small BMO seminorms. We not only extend several previous results by Krylov and Kim [14]-[18] to the full range of , but also deal with equations with more general coefficients.
Keywords
Cite
@article{arxiv.1009.5657,
title = {Solvability of second-order equations with hierarchically partially BMO coefficients},
author = {Hongjie Dong},
journal= {arXiv preprint arXiv:1009.5657},
year = {2012}
}
Comments
28 Pages. An earlier version was submitted in 2009. The current version is to appear in Trans. Amer. Math. Soc