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 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.
Mathematics Subject Classifications: 35K05, 65R30.
Key words and phrases: Coefficients identification, ill-posedness,
regularization.
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Zhilin Li Department of Mathematics and Center for Research in Scientific Computation North Carolina State University Raleigh, NC 27695-8205 USA E-mail address: zhilin@math.ncsu.edu |
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Kewang Zheng Department of Mathematics Hebei University of Science & Technology Hebei 050018, China |