Stability estimate for an inverse problem of a hyperbolic heat equation from boundary measurement

被引：0

作者：

Jbalia, A. ^{[1
]}

机构：

[1] ESPRIT Sch Engn, Tunis, Tunisia

来源：

INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS | 2023年 / 54卷 / 01期

关键词：

Inverse problem; Hyperbolic heat equation; Robin boundary condition; Double logarithmic stability estimate; CORROSION; IDENTIFICATION; COEFFICIENT;

D O I：

10.1007/s13226-022-00247-4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We are concerned with an inverse problem arising in thermal imaging in a bounded domain Omega subset of R-n, n = 2, 3. This inverse problem consists in the determination of the heat exchange coefficient q(x) appearing in the boundary of a hyperbolic heat equation with Robin boundary condition. A double-logarithmic stability estimate is developed.

引用

页码：241 / 252

页数：12

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