An inverse problem for the fractional porous medium equation

被引：2
|
作者：
Li, Li [1 ]
机构：
[1] Univ Calif Los Angeles, Inst Pure & Appl Math, Los Angeles, CA 90095 USA
来源：
ASYMPTOTIC ANALYSIS | 2023年 / 131卷 / 3-4期
关键词：
Inverse problem; fractional porous medium equation; unique continuation property; CALDERON PROBLEM;
D O I：
10.3233/ASY-221781
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider a time-independent variable coefficients fractional porous medium equation and formulate an associated inverse problem. We determine both the conductivity and the absorption coefficient from exterior partial measurements of the Dirichlet-to-Neumann map. Our approach relies on a time-integral transform technique as well as the unique continuation property of the fractional operator.
引用
收藏
页码：583 / 594
页数：12
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