New mapping properties for the resolvent of the Laplacian and recovery of singularities of a multi-dimensional scattering potential

DOI10.1088/0266-5611/17/5/306zbMath0988.35170OpenAlexW2093612812MaRDI QIDQ2764802

Lassi Päivärinta, Valery Serov

Publication date: 11 April 2002

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

Full work available at URL: https://doi.org/10.1088/0266-5611/17/5/306

zbMATH Keywords

singularitiespotential scatteringBorn approximationcontinuous spectrum of the Laplacian

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Inverse problems for PDEs (35R30) Schrödinger operator, Schrödinger equation (35J10) (2)-body potential quantum scattering theory (81U05)

Related Items (5)

Scattering problems for perturbations of the multidimensional biharmonic operator ⋮ Remarks on the Born approximation and the Factorization Method ⋮ Partial recovery of potentials in generalized nonlinear Schrödinger equations on the line ⋮ INVERSE BORN APPROXIMATION FOR THE GENERALIZED NONLINEAR SCHRÖDINGER OPERATOR IN TWO DIMENSIONS ⋮ Direct and inverse scattering for nonlinear Schrödinger equation in 2D

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