报 告 人：Professor Tuncay Aktosun（Department of Mathematics, University of Texas at Arlington）
报告题目：Inverse problem with transmission eigenvalues for the discreteSchrödinger equation
报告时间：2015年9月25日（周五）下午3:30-4:30
报告地点：静远楼1508学术报告厅
Abstract: The discrete Schr\odinger equation with the Dirichlet boundary condition isconsidered on a half-line lattice when the potential is real valued andcompactly supported. The inverse problem of recovery of the potential fromthe corresponding transmission eigenvalues is analyzed. The Marchenko methodand the Gel'fand-Levitan method are used to solve the inverse problemuniquely, except in one ``unusual case where the sum of the transmissioneigenvalues is equal to a certain integer related to the support of thepotential.It is shown that in the unusual case there may be a unique solutioncorresponding to a given set of transmission eigenvalues, there may be afinite number of distinct potentials for a given set of transmissioneigenvalues, or there may be infinitely many potentials for a given set oftransmission eigenvalues.