DETERMINATION OF TIME DEPENDENT FACTORS OF COEFFICIENTS IN FRACTIONAL DIFFUSION EQUATIONS

被引：50

作者：

Fujishiro, Kenichi ^{[1
]}

Kian, Yavar ^{[2
,3
]}

机构：

[1] Univ Tokyo, Grad Sch Math Sci, Tokyo 153, Japan

[2] Aix Marseille Univ, CNRS, CPT UMR 7332, F-13288 Marseille, France

[3] Univ Toulon & Var, CNRS, CPT UMR 7332, F-83957 La Garde, France

来源：

MATHEMATICAL CONTROL AND RELATED FIELDS | 2016年 / 6卷 / 02期

关键词：

Inverse problems; fractional diffusion equation; time-dependent parameter; stability estimate; RANDOM-WALKS;

D O I：

10.3934/mcrf.2016003

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In the present paper, we consider initial-boundary value problems for partial differential equations with time-fractional derivatives which evolve in Q = Omega x (0, T) where Omega is a bounded domain of R-d and T > 0. We study the stability of the inverse problems of determining the time-dependent parameter in a source term or a coefficient of zero-th order term from observations of the solution at a point x(0) is an element of(Omega) over bar for all t is an element of (0, T).

引用

页码：251 / 269

页数：19

共 38 条

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