Asymptotic behavior of the solutions for the Laplace equation with a large spectral parameter and the inhomogeneous Robin type conditions

zbMath1403.35191MaRDI QIDQ1704395

Mishio Kawashita, Masaru Ikehata

Publication date: 9 March 2018

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

Full work available at URL: https://projecteuclid.org/euclid.ojm/1515661218

zbMATH Keywords

Helmholtz equationasymptoticsingle-layer potentialsinhomogeneous Robin type conditionsLaplace equation with a large spectral parameter

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Scattering theory for PDEs (35P25) Wave equation (35L05)

Related Items (1)

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

Cites Work

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• Singular support of the scattering kernel for the Rayleigh wave in perturbed half-spaces
• Heat kernel asymptotics and the distance function in Lipschitz Riemannian manifolds
• An inverse problem for a three-dimensional heat equation in thermal imaging and the enclosure method
• Estimates of the integral kernels arising from inverse problems for a three-dimensional heat equation in thermal imaging
• Diffusion processes in a small time interval

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