Time: 9h30, Tuesday, October 17, 2017
Location: Room 4, Building A14, Institute of Mathematics, 18 Hoang Quoc Viet, Cau Giay, Hanoi
Abstract: We address the nonlinear inverse source problem of identifying a time-dependent source occurring in one node of a N-nodes network governed by a wave equation. We prove, under some reasonable assumptions, that time records of the associated state taken at a strategic set of two nodes yield uniqueness of the two unknown elements: node source position and emitted source signal defining the occurring source. We develop a non-iterative identification method that localizes the source node from solving a couple of well posed linear systems.