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Applied Mathematics and Mechanics (English Edition) ›› 2005, Vol. 26 ›› Issue (9): 1238-1244 .

• 论文 • 上一篇    

OPTIMAL ERROR BOUND IN A SOBOLEV SPACE OF REGULARIZED APPROXIMATION SOLUTIONS FOR A SIDEWAYS PARABOLIC EQUATION

李洪芳, 傅初黎, 熊向团   

  • 收稿日期:2003-05-30 修回日期:2005-05-17 出版日期:2005-09-18 发布日期:2005-09-18
  • 通讯作者: 傅初黎

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   

  1. Department of Mathematics, Lanzhou University, Lanzhou 730000, P.R.China
  • Received:2003-05-30 Revised:2005-05-17 Online:2005-09-18 Published:2005-09-18
  • Contact: FU Chu-li

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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.

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