UNIQUENESS OF DETERMINATION OF THE UNKNOWN SOURCE TERM IN SOME MULTIDIMENSIONAL PARABOLIC EQUATIONS
Author
ZEGHAL,A
Abstract
The purpose of this paper is to identify the unknown source term in a multidimensional parabolic equation by means of a one-point interior measurement of the solution at x0 <IMG SRC="/fbpe/img/proy/v23n2/e.jpg" WIDTH=18 HEIGHT=16>Ω, i.e. u(x0, .) on [0, T ]; or a one-point boundary measurement, i.e. u(<IMG SRC="/fbpe/img/proy/v23n2/x.gif" WIDTH=15 HEIGHT=16>0, .) on [0, T ] with <IMG SRC="/fbpe/img/proy/v23n2/x.gif" WIDTH=15 HEIGHT=16>0 <IMG SRC="/fbpe/img/proy/v23n2/e.jpg" WIDTH=18 HEIGHT=16><IMG SRC="/fbpe/img/proy/v23n2/letra.jpg" WIDTH=9 HEIGHT=16>Ω.