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math.AP2017
On the normalized ground states for the Kawahara equation and a fourth order NLS
Iurii Posukhovskyi, Atanas Stefanov
We consider the Kawahara model and two fourth order semi-linear Schrödinger equations in any spatial dimension. We construct the corresponding normalized ground states, which we ri…
math.AP2017★ 11 cited
On the classification of the spectrally stable standing waves of the Hartree problem
Vladimir Georgiev, Atanas Stefanov
We consider the fractional Hartree model, with general power non-linearity and space dimension. We construct variationally the "normalized" solutions for the corresponding Choquard…