Uniqueness for an inverse source problem of determining a space dependent source in a non-autonomous parabolic equation

被引：9

作者：

Slodicka, Marian ^{[1
]}

机构：

[1] Univ Ghent, Dept Elect & Informat Syst, Res Grp NaM2, Krijgslaan 281, B-9000 Ghent, Belgium

来源：

APPLIED MATHEMATICS LETTERS | 2020年 / 107卷

关键词：

Parabolic equation; Inverse source problem; Uniqueness;

D O I：

10.1016/j.aml.2020.106395

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study uniqueness for an inverse source problem for a second order parabolic equation partial derivative(t)u(x, t) + A(t)u(x, t) = h(t)f(x) with time dependent coefficients. The unknown space dependent source f(x) is determined from the final time overdetermination. New uniqueness results are formulated in Theorems 2.1 and 3.1, assuming 0 not equivalent to h >= 0. (c) 2020 Elsevier Ltd. All rights reserved.

引用

页数：5

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