Inverse backscattering problem for perturbations of biharmonic operator

DOI10.1088/1361-6420/aa873ezbMath1442.65335OpenAlexW2749372882MaRDI QIDQ4592683

Teemu Tyni, Markus Harju

Publication date: 8 November 2017

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

Full work available at URL: http://urn.fi/urn:nbn:fi-fe2019040411055

zbMATH Keywords

scattering problembiharmonic operatorbackscatteringinverse scatteringBorn approximation

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21) Higher-order elliptic equations (35J30) Variational methods for higher-order elliptic equations (35J35)

Related Items (11)

Inverse Source Problems for the Stochastic Wave Equations: Far-Field Patterns ⋮ Inverse scattering for three-dimensional quasi-linear biharmonic operator ⋮ Reconstruction of singularities in two-dimensional quasi-linear biharmonic operator ⋮ Unique continuation and inverse problem for an anisotropic beam bending equation ⋮ Inverse scattering problem for the high order Schrödinger operator at fixed angles scattering amplitude ⋮ Inverse Scattering for the Biharmonic Wave Equation with a Random Potential ⋮ Inverse scattering problem for quasi-linear perturbation of the biharmonic operator on the line ⋮ Recovery of singularities from a backscattering Born approximation for a biharmonic operator in 3D ⋮ Two-dimensional inverse scattering for quasi-linear biharmonic operator ⋮ Inverse scattering and stability for the biharmonic operator ⋮ Numerical results for Saito’s uniqueness theorem in inverse scattering theory

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