Optimal Error Bound in a Sobolev Space of Regularized Approximation Solutions for a Sideways Parabolic Equation

LI Hong-fang; FU Chu-li; XIONG Xiang-tuan

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Article Navigation > Applied Mathematics and Mechanics > 2005 > 26(9): 1128-1134

LI Hong-fang, FU Chu-li, XIONG Xiang-tuan. Optimal Error Bound in a Sobolev Space of Regularized Approximation Solutions for a Sideways Parabolic Equation[J]. Applied Mathematics and Mechanics, 2005, 26(9): 1128-1134.

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Optimal Error Bound in a Sobolev Space of Regularized Approximation Solutions for a Sideways Parabolic Equation

Department of Mathematics, Lanzhou University, Lanzhou 730000, P. R. China

Received Date: 2003-05-30
Rev Recd Date: 2005-05-01
Publish Date: 2005-09-15

Abstract

Abstract

The inverse heat conduction problem(IHCP)is 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 spaceof 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.
- inverse heat conduction problem,
- ill-posed problem,
- sideways parabolic equation,
- regularization,
- optimal error bound

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References(9)

References

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