Recovery of Singularities of a Multidimensional Scattering Potential

DOI10.1137/S0036141096305796zbMath0908.35092MaRDI QIDQ4389037

Lassi Päivärinta, Valery Serov

Publication date: 11 May 1998

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

zbMATH Keywords

fundamental solutionweighted \(L^p\)-spacesborn approximation

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) Inverse problems for PDEs (35R30)

Related Items (14)

A Born approximation from backscattering data for live loads in Lamé system ⋮ Reconstruction of singularities from full scattering data by new estimates of bilinear Fourier multipliers ⋮ Scattering problems for perturbations of the multidimensional biharmonic operator ⋮ Inverse scattering for three-dimensional quasi-linear biharmonic operator ⋮ Live load matrix recovery from scattering data in linear elasticity ⋮ Partial recovery of potentials in generalized nonlinear Schrödinger equations on the line ⋮ RECOVERING SINGULARITIES FROM BACKSCATTERING IN TWO DIMENSIONS ⋮ Numerical approximation of the potential in the two-dimesional inverse scattering problem ⋮ INVERSE BORN APPROXIMATION FOR THE GENERALIZED NONLINEAR SCHRÖDINGER OPERATOR IN TWO DIMENSIONS ⋮ A New Convergent Algorithm to Approximate Potentials from Fixed Angle Scattering Data ⋮ Some Inverse Scattering Problems for Perturbations of the Biharmonic Operator ⋮ Born approximation for the magnetic Schrödinger operator ⋮ Numerical results for Saito’s uniqueness theorem in inverse scattering theory ⋮ Inverse backscattering Born approximation for the magnetic Schrödinger equation in three dimensions

This page was built for publication: Recovery of Singularities of a Multidimensional Scattering Potential