Affordable Access

Access to the full text

Solvability of second-order equations with hierarchically partially BMO coefficients

Authors
  • Dong, Hongjie
Type
Published Article
Publication Date
Sep 28, 2010
Submission Date
Sep 28, 2010
Identifiers
DOI: 10.1090/S0002-9947-2011-05453-X
Source
arXiv
License
Yellow
External links

Abstract

By using some recent results for divergence form equations, we study the $L_p$-solvability of second-order elliptic and parabolic equations in nondivergence form for any $p\in (1,\infty)$. 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 $p$, but also deal with equations with more general coefficients.

Report this publication

Statistics

Seen <100 times