16 citations · 65 across the 21 of their papers we have counts for
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math.AP2016★ 3 cited
Modified scattering for the quadratic nonlinear Klein-Gordon equation in two dimensions
Satoshi Masaki, Jun-ichi Segata
In this paper, we consider the long time behavior of solution to the quadratic gauge invariant nonlinear Klein-Gordon equation (NLKG) in two space dimensions. For a given asymptoti…
math.AP2016★ 15 cited
The fourth order nonlinear Schrodinger limit for quantum Zakharov system
Yung-Fu Fang, Chi-Kun Lin, Jun-ichi Segata
This paper is concerned with the quantum Zakharov system. We prove that when the ionic speed of sound goes to infinity, the solution to the fourth order Schrodinger part of the qua…
math.AP2016★ 5 cited
Existence of a minimal non-scattering solution to the mass-subcritical generalized Korteweg-de Vries equation
Satoshi Masaki, Jun-ichi Segata
In this article, we prove existence of a non-scattering solution, which is minimal in some sense, to the mass-subcritical generalized Korteweg-de Vries (gKdV) equation in the scale…