88 research outputs found
Solvability of second-order equations with hierarchically partially BMO coefficients
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.Comment: 28 Pages. An earlier version was submitted in 2009. The current
version is to appear in Trans. Amer. Math. So
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