國立清華大學 數學系

Abstract: In this talk, I would like to discuss Landis' conjecture for the Schrodinger equation with real potentials. By the scaling argument, the optimal decay rate of nontrivial solutions is closely related to the sharp vanishing rate of solutions. The estimate of vanishing rate of solutions is a quantitative form of strong unique continuation property. This talk is based on a recent joint work with C. Kenig and L. Silvestre on Landis' conjecture in two dimensions. Tea Time: 3:30PM, R707