Add to ORKGFor the Schrodinger equation at fixed energy with a potential supported in a bounded domain we give formulas and equations for finding scattering data from the Dirichlet-to-Neumann map with nonzero background potential. For the case of zero background potential these results were obtained in [R.G.Novikov, Multidimensional inverse spectral problem for the equation -\Delta\psi+(v(x)-Eu(x))\psi=0, Funkt. Anal. i Ego Prilozhen 22(4), pp.11-22, (1988)]
AbstractIn this work, we consider the inverse scattering problem for a class of one dimensional Dira...
AbstractLet Dj, j = 1,2, be two bounded domains (obstacles) in Rn, n ≥ 2, with the boundaries Г. Let...
We revisit the scattering problem for the defocusing nonlinear Schrodinger equation with constant, n...
9 pagesWe study an inverse scattering problem for a pair of Hamiltonians $(H(h) , H_0 (h))$ on $L^2 ...
International audienceWe develop the d-bar -approach to inverse scattering at zero energy in dimensi...
We give a short review of old and recent results on the multidimensional inverse scattering problem ...
AbstractWe consider inverse scattering problems for the three-dimensional Hartree equation. We prove...
International audienceWe propose an iterative approximate reconstruction algorithm for non-overdeter...
International audienceWe propose an iterative approximate reconstruction algorithm for non-overdeter...
We study the inverse scattering problem for the nonlinear Schr\"odinger equation and for the nonline...
The modeling of wave propagation problems using finite element methods usually requires the truncati...
An inverse problem for the two-dimensional Schrödinger equation with Lp-potential, p>1, is considere...
AbstractIn this paper we present an error analysis for a high-order accurate combined Dirichlet-to-N...
AbstractThe scattering of a charged scalar field on Coulomb potential on de Sitter space–time is stu...
We develop the d-bar approach to inverse scattering at fixed energy in dimensions $d\ge 3$ of [Beals...
AbstractIn this work, we consider the inverse scattering problem for a class of one dimensional Dira...
AbstractLet Dj, j = 1,2, be two bounded domains (obstacles) in Rn, n ≥ 2, with the boundaries Г. Let...
We revisit the scattering problem for the defocusing nonlinear Schrodinger equation with constant, n...
9 pagesWe study an inverse scattering problem for a pair of Hamiltonians $(H(h) , H_0 (h))$ on $L^2 ...
International audienceWe develop the d-bar -approach to inverse scattering at zero energy in dimensi...
We give a short review of old and recent results on the multidimensional inverse scattering problem ...
AbstractWe consider inverse scattering problems for the three-dimensional Hartree equation. We prove...
International audienceWe propose an iterative approximate reconstruction algorithm for non-overdeter...
International audienceWe propose an iterative approximate reconstruction algorithm for non-overdeter...
We study the inverse scattering problem for the nonlinear Schr\"odinger equation and for the nonline...
The modeling of wave propagation problems using finite element methods usually requires the truncati...
An inverse problem for the two-dimensional Schrödinger equation with Lp-potential, p>1, is considere...
AbstractIn this paper we present an error analysis for a high-order accurate combined Dirichlet-to-N...
AbstractThe scattering of a charged scalar field on Coulomb potential on de Sitter space–time is stu...
We develop the d-bar approach to inverse scattering at fixed energy in dimensions $d\ge 3$ of [Beals...
AbstractIn this work, we consider the inverse scattering problem for a class of one dimensional Dira...
AbstractLet Dj, j = 1,2, be two bounded domains (obstacles) in Rn, n ≥ 2, with the boundaries Г. Let...
We revisit the scattering problem for the defocusing nonlinear Schrodinger equation with constant, n...