个人信息Personal Information
副教授
硕士生导师
教师英文名称：Shumin Li
教师拼音名称：Li Shumin
电子邮箱：
学历：博士研究生毕业
学位：博士
毕业院校：东京大学
Local logarithmic stability of an inverse coefficient problem for a singular heat equation with an inverse-square potential
点击次数：
DOI码：10.1080/00036811.2021.2011246
发表刊物：Applicable Analysis
关键字：Singular heat equation; logarithmic stability; inverse coefficient problem
摘要：An inverse problem of the determination of the coefficient P(x) in the equation: partial derivative(t)u(x, t)- del . (P(x)del u) - mu/vertical bar x vertical bar(2) u(x, t) = 0, (x, t) is an element of Omega x (0, T) is considered. The main difficulty here as compared with the existing result is that there is a singular potential in the equation. A local logarithmic stability estimate is obtained using the method of Carleman estimates. Our proof relies on the Bukhgeim-Klibanov method which was originated in [Bukhgeim AL, Klibanov MV. Uniqueness in the large of a class of multidi-imensional inverse problems. Dokl Akad Nauk SSSR. 1981;17:244-247] to prove inverse source or coefficient results.
合写作者：李书敏
第一作者：秦雪
论文类型：期刊论文
论文编号：000729715100001
学科门类：理学
文献类型：J
卷号：102
期号：7
页面范围：1995–2017
ISSN号：0003-6811
是否译文：否
发表时间：2023-05-03
收录刊物：SCI
发布期刊链接：https://www.tandfonline.com/doi/full/10.1080/00036811.2021.2011246
上一条：Carleman estimates and some inverse problems for the coupled quantitative thermoacoustic equations by partial boundary layer data. Part II: Some inverse problems
下一条：Carleman estimates and some inverse problems for the coupled quantitative thermoacoustic equations by boundary data. Part I: Carleman estimates