Date: February 3, 2026, 1-2 PM EST

Speaker: Jiuyi Zhu (Louisiana State University)

Title: Spectral inequalities for Schrodinger equations with power growth potentials

Abstract: We obtain some sharp spectral inequalities for Schrodinger equations with power growth potentials. The spectral inequalities are concerned with a control estimate for a linear combination of eigenfunctions of Schrodinger operators. These sharp spectral inequalities depend on the  thickness of the sensor sets, the growth rate of the potentials and eigenvalues of Schrodinger operators. We will also show the connection of these spectral inequalities with null controllability for parabolic equations in control theory.  The proof relies on the study of quantitative Cauchy propagation of smallness.

Link: https://wayne-edu.zoom.us/j/98693739093?pwd=wrzcgvyxMFfqar3ognCZjIpk4UsSfi.1