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

页码：583 / 594

页数：12

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