Electronic Journal of Differential Equations,
Conference 01 (1998), pp. 193-199. 

Title: An Inverse Problem in a Parabolic Equation

Authors: Zhilin Li (North Carolina State Univ., Raleigh, NC, USA)
         Kewang Zheng (Hebei Univ. of Science & Technology, China) 
 
Abstract: 
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.



Published November 12, 1998.
Math Subject Classifications: 35K05, 65R30
Key Words: Coefficients identification; ill-posedness; regularization.