Borg–Levinson theorem for perturbations of the bi-harmonic operator

DOI10.1088/0266-5611/32/4/045002zbMath1380.47037OpenAlexW2292861424MaRDI QIDQ2806025

Valery Serov

Publication date: 13 May 2016

Published in: Inverse Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0266-5611/32/4/045002

zbMATH Keywords

Green's functionDirichlet-to-Neumann mapbi-harmonic operatorBorg-Levinson data

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) General theory of partial differential operators (47F05) Higher-order elliptic equations (35J30)

Related Items (5)

Inverse boundary value problems for polyharmonic operators with non-smooth coefficients ⋮ Scattering problems for perturbations of the multidimensional biharmonic operator ⋮ Inverse boundary value problem of determining up to a second order tensor appear in the lower order perturbation of a polyharmonic operator ⋮ Stability estimates in a partial data inverse boundary value problem for biharmonic operators at high frequencies ⋮ Stability estimates for the inverse boundary value problem for the first order perturbation of the biharmonic operator

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