Department of Mathematics, Lanzhou University, Lanzhou 730000, P.R.China
Abstract:
The inverse heat conduction problem (IHCP) is a severely ill-posed problem in the sense that the solution (if it exists) does
not depend continuously on the data. But now the results on inverse heat conduction problem are mainly devoted to the standard
inverse heat conduction problem. Some optimal error bounds in a Sobolev space of regularized approximation solutions for a
sideways parabolic equation,i. e., a non-standard inverse heat conduction problem with convection term which appears in some applied subject are given.
Project supported by the National Natural Science Foundation of China (No. 10271050)