Parabolic and elliptic equations with VMO coefficients

被引:218
作者
Krylov, N. V. [1 ]
机构
[1] Univ Minnesota, Sch Math, Minneapolis, MN 55455 USA
基金
美国国家科学基金会;
关键词
martingale problem; second-order equations; vanishing mean oscillation;
D O I
10.1080/03605300600781626
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
An L-p-theory of divergence and non-divergence form elliptic and parabolic equations is presented. The main coefficients are supposed to belong to the class VMOx, which, in particular, contains all functions independent of x. Weak uniqueness of the martingale problem associated with such equations is obtained.
引用
收藏
页码:453 / 475
页数:23
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