JOURNAL OF DIFFERENTIAL EQUATIONS 256(4) 1395-1466 2014年2月 [査読有り]
We show that ground states of the NLS moving at nonzero speed are asymptotically stable if they either stay far from the potential, or the potential is small, or the ground state has large speed. We search an effective Hamiltonian using the Birkho...
ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE 30(5) 791-824 2013年9月 [査読有り]
We consider the Zakharov system in two space dimension with periodic boundary condition:
{i partial derivative(t)u = -Delta u+nu,
partial derivative(tt)n = Delta n+Delta vertical bar u vertical bar(2), (t, x) is an element of [0, T) x T-2. (Z)
We ...
DIFFERENTIAL AND INTEGRAL EQUATIONS 26(7-8) 731-756 2013年7月 [査読有り]
In this article, we consider the nonlinear Schrodinger equation with nonlocal nonlinearity, which is a generalized model of the Schrodinger-Poisson system (Schrodinger-Newton equations) in low dimensions. We prove global well-posedness in a wider ...
JOURNAL OF FUNCTIONAL ANALYSIS 263(2) 511-528 2012年7月 [査読有り]
We consider a Hamiltonian systems which is invariant under a one-parameter unitary group and give a criterion for the stability and instability of bound states for the degenerate case. We apply our theorem to the single power nonlinear Klein-Gordo...
FUNKCIALAJ EKVACIOJ-SERIO INTERNACIA 54(1) 1-14 2011年4月 [査読有り]
In this paper, we study the fourth order nonlinear Schrodinger type equation (4NLS) which is a generalization of the Fukumoto-Moffatt [5] model that arising in the context of the motion of a vortex filament. Firstly, we mention the existence of st...