A special Green's function for the biharmonic operator and its application to an inverse boundary value problem

DOI10.1016/0898-1221(91)90131-MzbMath0770.35078MaRDI QIDQ1178534

Masaru Ikehata

Publication date: 26 June 1992

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

zbMATH Keywords

fundamental solutioninverse boundary value problemsDirichlet to Neumann mapinverse scattering problemsGreen-Fadeev function

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) Biharmonic and polyharmonic equations and functions in higher dimensions (31B30) Boundary value and inverse problems for harmonic functions in higher dimensions (31B20)

Related Items

Global uniqueness for an inverse boundary problem arising in elasticity ⋮ An inverse problem on determining second order symmetric tensor for perturbed biharmonic operator ⋮ Unique continuation and inverse problem for an anisotropic beam bending equation ⋮ Inverse boundary value problem of determining up to a second order tensor appear in the lower order perturbation of a polyharmonic operator ⋮ Stability for an inverse spectral problem of the biharmonic Schrödinger operator ⋮ Reconstructing unknown inclusions for the biharmonic equation ⋮ Stability estimates in a partial data inverse boundary value problem for biharmonic operators at high frequencies ⋮ Extracting discontinuity using the probe and enclosure methods ⋮ Stability estimates for the inverse boundary value problem for the first order perturbation of the biharmonic operator ⋮ Reconstructing a potential perturbation of the biharmonic operator on transversally anisotropic manifolds ⋮ Stability of the inverse boundary value problem for the biharmonic operator: logarithmic estimates ⋮ Recovery of singularities for formally determined inverse problems ⋮ Determination of lower order perturbations of the polyharmonic operator from partial boundary data ⋮ Inverse scattering for the higher order Schrödinger operator with a first order perturbation ⋮ Inverse boundary value problems for the perturbed polyharmonic operator ⋮ Inverse Boundary Problems for Biharmonic Operators in Transversally Anisotropic Geometries ⋮ Stability estimates for the inverse boundary value problem for the biharmonic operator with bounded potentials

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