Work

Solvability of second-order equations with hierarchically partially BMO coefficients

Year: 2011

Type: article

Abstract: By using some recent results for divergence-form equations, we study the L p L_p -solvability of second-order elliptic and parabolic equations in nondivergence form for any p ∈ ( 1 , ∞ ) 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 to the full range of p p , but also deal with equations with more general coefficients.

Source: Transactions of the American Mathematical Society

DOI: 10.1090/s0002-9947-2011-05453-x

Author: Hongjie Dong

Institution: Brown University

Language: Latvian

Topic: Nonlinear Partial Differential Equations

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Funder: National Science Foundation

Awards: Basic Research in Mathematics, Research topics in partial differential equations