50 citations · 147 across the 17 of their papers we have counts for
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math.AP2018★ 1 cited
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…
math.AP2018
Estimates in the modulation spaces for the Dirac equation with potential
Keiichi Kato, Ivan Naumkin
In the present paper we obtain estimates in the modulation spaces for the solutions to the Dirac equation with quadratic and sub-quadratic potentials. We derive a representation fo…
math.AP2018★ 6 cited
Perturbations of self-similar solutions
Thierry Cazenave, Flávio Dickstein, Ivan Naumkin +1
We consider the nonlinear heat equation with , either on , , or on a bounded domain with Dirichlet boundary conditions. We prove th…