Differential Equations and Computational Simulations III
Electron. J. Diff. Eqns., Conf. 01, 1997, pp. 193199.
An inverse problem in a parabolic equation
Zhilin Li & Kewang Zheng
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 wellposed while another is
illposed. A regularization approach for constructing an approximate
solution to the illposed integral equation is proposed. Theoretical
analysis and numerical experiment are provided to support the method.
Published November 12, 1998.
Mathematics Subject Classifications: 35K05, 65R30.
Key words and phrases: Coefficients identification, illposedness,
regularization.
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Zhilin Li
Department of Mathematics and
Center for Research in Scientific Computation
North Carolina State University
Raleigh, NC 276958205 USA
Email address: zhilin@math.ncsu.edu 

Kewang Zheng
Department of Mathematics
Hebei University of Science & Technology
Hebei 050018, China 
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