Global Lipschitz stability for a fractional inverse transport problem by Carleman estimates

被引：2

作者：

Kawamoto, Atsushi ^{[1
]}

Machida, Manabu ^{[2
]}

机构：

[1] Univ Tokyo, Dept Math Sci, Meguro Ku, Tokyo, Japan

[2] Hamamatsu Univ, Inst Med Photon Res, Sch Med, Hamamatsu, Shizuoka, Japan

来源：

APPLICABLE ANALYSIS | 2021年 / 100卷 / 04期

基金：

日本学术振兴会;

关键词：

Fractional radiative transport equation; Carleman estimate; global Lipschitz stability;

D O I：

10.1080/00036811.2019.1620931

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider a fractional radiative transport equation, where the time derivative is of half order in the Caputo sense. By establishing Carleman estimates, we prove the global Lipschitz stability in determining the coefficients of the one-dimensional time-fractional radiative transport equation of half-order.

引用

页码：752 / 771

页数：20

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