Speaker: Jun-Yong Zhang
Beijing Computational Science Research Center
Abstract: We consider the maximal estimates for solutions to an initial value problem of the Schr\"odinger equation with a singular potential. We show a result about the pointwise convergence of solutions to this special variable coefficient Schr\"odinger equation with initial data $u_0\in H^{s}(\R^n)$ for $s>1/2$ or radial initial data $u_0\in H^{s}(\R^n)$ for $s\geq1/4$ and the solution does not converge when $s<1/4$.
Date&Time: June 8, 2012 14:30 - 15:30
Location: 606 Conference Room
