Article ID Journal Published Year Pages File Type
4617723 Journal of Mathematical Analysis and Applications 2012 8 Pages PDF
Abstract

We show a unique continuation result for the differential inequality |i∂tu+Δu|⩽|Vu|, where V is a time-dependent potential. Our results extend those in C.E. Kenig and C.D. Sogge (1988) [7] to include potentials contained in mixed norm spaces . Also, we obtain some endpoint inhomogeneous Strichartz estimates for the Schrödinger equation.

Related Topics
Physical Sciences and Engineering Mathematics Analysis