%0 Journal Article
%T An inverse problem in a parabolic equation
%A Zhilin Li
%A Kewang Zheng
%J Electronic Journal of Differential Equations
%D 1998
%I Texas State University
%X In this paper, an inverse problem in a parabolic equation is studied. An unknown function in the equation is related to two integral equations in terms of heat kernel. One of the integral equations is well-posed while another is ill-posed. A regularization approach for constructing an approximate solution to the ill-posed integral equation is proposed. Theoretical analysis and numerical experiment are provided to support the method.
%K Coefficients identification
%K ill-posedness
%K regularization.
%U http://ejde.math.txstate.edu/conf-proc/01/l6/abstr.html