AbstractIt is proved that A(θ′,θ,k) = A(θ′·θ,k) is a necessary and sufficient condition for a scattering amplitude A(θ′,θ,k) to correspond to a spherically symmetric potential q(x) = q(|x|)
AbstractWe consider the following nonlinear Schrödinger equations in exterior domains: i∂tu + 12 Δu ...
The scattering equations, recently proposed by Cachazo, He and Yuan as providing a kinematic basis f...
AbstractIt is proved that for a convex reflecting scatterer the support function is uniquely determi...
AbstractLet supα′,α ϵ S2 ¦Aδ(α′, α) − A(α′, α)¦ < δ, where S2 is the unit sphere in R3, A(α′, α) is ...
AbstractIt is proved in this paper that the scattering amplitude Aq(α′, α) at fixed energy for poten...
AbstractLet q(x) ∈ L2(D), D ⊂ R3 is a bounded domain, q = 0 outside D, q is real-valued. Assume that...
The scattering equations, recently proposed by Cachazo, He and Yuan as providing a kinematic basis f...
It is demonstrated that for the isospin $I=1/2$ $\pi$N scattering amplitude, $T^{I=1/2}(s,t)$, $s={(...
For a layer with compactly supported inhomogeneity we give an appropriate definition of the scatteri...
AbstractLet Dj, j = 1,2, be two bounded domains (obstacles) in Rn, n ≥ 2, with the boundaries Г. Let...
AbstractWe consider inverse scattering problems for the three-dimensional Hartree equation. We prove...
It is shown that the fundamental solution to the Schrödinger equation on a d-dimensional sphere has ...
It is shown that the fundamental solution to the Schrödinger equation on a d-dimensional sphere has ...
AbstractOne can uniquely recover simultaneously n(z), h(w) and α from the surface data u(x1, x2, z =...
For a layer with compactly supported inhomogeneity we give an appropriate definition of the scatteri...
AbstractWe consider the following nonlinear Schrödinger equations in exterior domains: i∂tu + 12 Δu ...
The scattering equations, recently proposed by Cachazo, He and Yuan as providing a kinematic basis f...
AbstractIt is proved that for a convex reflecting scatterer the support function is uniquely determi...
AbstractLet supα′,α ϵ S2 ¦Aδ(α′, α) − A(α′, α)¦ < δ, where S2 is the unit sphere in R3, A(α′, α) is ...
AbstractIt is proved in this paper that the scattering amplitude Aq(α′, α) at fixed energy for poten...
AbstractLet q(x) ∈ L2(D), D ⊂ R3 is a bounded domain, q = 0 outside D, q is real-valued. Assume that...
The scattering equations, recently proposed by Cachazo, He and Yuan as providing a kinematic basis f...
It is demonstrated that for the isospin $I=1/2$ $\pi$N scattering amplitude, $T^{I=1/2}(s,t)$, $s={(...
For a layer with compactly supported inhomogeneity we give an appropriate definition of the scatteri...
AbstractLet Dj, j = 1,2, be two bounded domains (obstacles) in Rn, n ≥ 2, with the boundaries Г. Let...
AbstractWe consider inverse scattering problems for the three-dimensional Hartree equation. We prove...
It is shown that the fundamental solution to the Schrödinger equation on a d-dimensional sphere has ...
It is shown that the fundamental solution to the Schrödinger equation on a d-dimensional sphere has ...
AbstractOne can uniquely recover simultaneously n(z), h(w) and α from the surface data u(x1, x2, z =...
For a layer with compactly supported inhomogeneity we give an appropriate definition of the scatteri...
AbstractWe consider the following nonlinear Schrödinger equations in exterior domains: i∂tu + 12 Δu ...
The scattering equations, recently proposed by Cachazo, He and Yuan as providing a kinematic basis f...
AbstractIt is proved that for a convex reflecting scatterer the support function is uniquely determi...
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