On parabolic and elliptic equations with VMO coefficients

Mon, 05/11/2007
16:00
Nicolai Krylov (Minnesota) Applied Analysis and Mechanics Seminar Add to calendar L3
On parabolic and elliptic equations with VMO coefficients. Abstract: 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 VMO_x, which, in particular, contains all functions independent of x. Weak uniqueness of the martingale problem associated with such equations is obtained