一个抛物型方程侧边值问题的具有Holder连续性的Fourier正则化方法

摘要

逆热传导问题是具有重要应用背景的严重不适定问题,但目前已有结果大都仅局限于标准的热传导方程侧边值问题的讨论.本文对一个抛物型方程侧边值问题给出了一种新的具有Holder连续性的Fourier正则化方法.%Inverse heat conduction problems (IHCP) are severely ill-posed problems, but now the results available in the literature on IHCP are mainly devoted to the standard sideways heat equation. In this paper a new Fourier regularization method with Holder stability for a sideways parabolic equation that appears in some applied subjects is given.