Recovery of singularities from a backscattering Born approximation for a biharmonic operator in 3D

DOI10.1088/1361-6420/aaaf7fzbMath1471.65182OpenAlexW2789635236MaRDI QIDQ4638181

Teemu Tyni

Publication date: 3 May 2018

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

Full work available at URL: http://urn.fi/urn:nbn:fi-fe2019040311028

zbMATH Keywords

inverse problembiharmonic operatorinverse scatteringBorn approximation

Mathematics Subject Classification ID

Radon transform (44A12) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21)

Related Items (1)

Inverse scattering problem for the high order Schrödinger operator at fixed angles scattering amplitude

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Generalized functions. Theory and technique
• Polyharmonic boundary value problems. Positivity preserving and nonlinear higher order elliptic equations in bounded domains
• The Radon transform.
• The analysis of linear partial differential operators. I: Distribution theory and Fourier analysis.
• Scattering problems for perturbations of the multidimensional biharmonic operator
• RECOVERING SINGULARITIES FROM BACKSCATTERING IN TWO DIMENSIONS
• Inverse fixed angle scattering and backscattering problems in two dimensions
• Wave scattering by platonic grating stacks
• Differential Topology
• Inverse Scattering for Singular Potentials in Two Dimensions
• Inverse backscattering problem for perturbations of biharmonic operator
• Partial Recovery of a Potential from Backscattering Data

This page was built for publication: Recovery of singularities from a backscattering Born approximation for a biharmonic operator in 3D