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

A. Jbalia ()
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A. Jbalia: ESPRIT School of Engineering

Indian Journal of Pure and Applied Mathematics, 2023, vol. 54, issue 1, 241-252

Abstract: Abstract We are concerned with an inverse problem arising in thermal imaging in a bounded domain $$\Omega \subset {\mathbb {R}}^n$$ Ω ⊂ R n , $$n=2,3$$ 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.

Keywords: Inverse problem; Hyperbolic heat equation; Robin boundary condition; Double logarithmic stability estimate; 65N21; 35K05; 35R30 (search for similar items in EconPapers)
Date: 2023
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DOI: 10.1007/s13226-022-00247-4

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