1 citations · 1 across the 3 of their papers we have counts for
10 papers
Levinson theorem for discrete Schrödinger operators on the line with matrix potentials having a first moment
Miguel Ballesteros, Gerardo Franco Córdova, Ivan Naumkin +1
This paper proves new results on spectral and scattering theory for matrix-valued Schrödinger operators on the discrete line with non-compactly supported perturbations whose first…
The Matrix Nonlinear Schrödinger Equation with a Potential
Ivan Naumkin, Ricardo Weder
This paper is devoted to the study of the large-time asymptotics of the small solutions to the matrix nonlinear Schrödinger equation with a potential on the half-line and with gene…
Asymptotic behavior for a dissipative nonlinear Schrödinger equation
Thierry Cazenave, Zheng Han, Ivan Naumkin
We consider the Schrödinger equation with nonlinear dissipation \begin{equation*} i \partial _t u +Δu=λ|u|^αu \end{equation*} in , , where $λ\in {\mathbb C}…
Sign-changing solutions of the nonlinear heat equation with persistent singularities
Thierry Cazenave, Flávio Dickstein, Ivan Naumkin +1
We study the existence of sign-changing solutions to the nonlinear heat equation on , , with , where…
Local smooth solutions of the nonlinear Klein-gordon equation
Thierry Cazenave, Ivan Naumkin
Given any and , we prove the local existence of arbitrarily smooth solutions of the nonlinear Klein-Gordon equation $\partial_{ tt } u - Δu + μ_1 u =…
On travelling waves of the non linear Schrödinger equation escaping a potential well
Ivan Naumkin, Pierre Raphäel
In this paper we consider the NLS equation with focusing nonlinearities in the presence of a potential. We investigate the compact soliton motions that correspond to a free soliton…