一个抛物型方程侧边值问题的具有Hlder连续性的Fourier正则化方法(英文)  

A Fourier regularization method with Holder stability for a sideways parabolic equation

作　　者：傅初黎[1] 熊向团[1] 李洪芳[1] 

机构地区：[1]兰州大学数学系, 甘肃 兰州 730000

出　　处：《兰州大学学报（自然科学版）》2004年第2期5-7,共3页Journal of Lanzhou University(Natural Sciences)

基　　金：Supported by the National Natural Science Foundation of China(10271050);the Natural Science Foundation of Gansu Province (ZS021-A25-001-Z)

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Hlder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 Hder stability for a sideways parabolic equation that appears in some applied subjects is given.

关 键 词：抛物方程侧边值问题 不适定问题 正则化 Hoelder稳定性 

分 类 号：O175[理学—数学]