Estimates of the integral kernels arising from inverse problems for a three-dimensional heat equation in thermal imaging

DOI10.1215/21562261-2400265zbMath1288.31006OpenAlexW2039671130MaRDI QIDQ2450260

Mishio Kawashita, Masaru Ikehata

Publication date: 19 May 2014

Published in: Kyoto Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.kjm/1394804790

zbMATH Keywords

integral operatorsbounded strictly convex domainsinverse initial boundary value problems

Mathematics Subject Classification ID

Heat equation (35K05) Inverse problems for PDEs (35R30) Integral representations, integral operators, integral equations methods in higher dimensions (31B10) Boundary value and inverse problems for harmonic functions in higher dimensions (31B20)

Related Items (3)

Extracting discontinuity using the probe and enclosure methods ⋮ Asymptotic behavior of the solutions for the Laplace equation with a large spectral parameter and the inhomogeneous Robin type conditions ⋮ An inverse problem for a three-dimensional heat equation in thermal imaging and the enclosure method

Cites Work

• Unnamed Item
• Asymptotic behavior of the solutions for the Laplace equation with a large spectral parameter and the inhomogeneous Robin type conditions
• An inverse problem for a three-dimensional heat equation in thermal imaging and the enclosure method
• Diffusion processes in a small time interval

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