21 citations · 93 across the 32 of their papers we have counts for
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math.AP2011★ 3 cited
An example of stable excited state on nonlinear Schrödinger equation with nonlocal nonlinearity
Masaya Maeda, Satoshi Masaki
In this article, we consider nonlinear Schrödinger equation with nonlocal nonlinearity which is a generalized model of the Schrödinger-Poisson system (Schrödinger-Newton equations)…
math.AP2011★ 3 cited
Construction of blow-up solutions for Zakharov system on
Nobu Kishimoto, Masaya Maeda
We consider the Zakharov system in two space dimension with periodic boundary condition. We prove the existence of finite time blow-up solutions. Further, we show there exists no m…
math.AP2011★ 1 cited
Stability of bound states of Hamiltonian PDEs in the degenerate cases
Masaya Maeda
We consider a Hamiltonian systems which is invariant under a one-parameter unitary group. We give a criterion for the stability and instability of bound states for the degenerate c…