[GS_M_APP] Estimates for Half-Time Derivatives and its Application
ABSTRACT
The present talk is devoted to introducing estimates for the half-time derivative in the context of parabolic partial differential equations. We then discuss applications of these estimates to the following problems:
(1) the parabolic conormal problem with leading coefficients that are merely measurable in time on Reifenberg-flat domain;
(2) the L2-theory for poroelastic equations;
(3) the path regularity of stochastic partial differential equations(SPDEs).