11 citations · 39 across the 17 of their papers we have counts for
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A sufficient condition for global existence of solutions to a generalized derivative nonlinear Schrödinger equation
Noriyoshi Fukaya, Masayuki Hayashi, Takahisa Inui
We give a sufficient condition for global existence of the solutions to a generalized derivative nonlinear Schrödinger equation (gDNLS) by a variational argument. The variational a…
Global Dynamics of solutions with group invariance for the nonlinear Schrödinger equation
Takahisa Inui
We consider the focusing mass-supercritical and energy-subcritical nonlinear Schrödinger equation (NLS). We are interested in the global behavior of the solutions to (NLS) with gro…
Global Dynamics below the standing waves for the focusing semilinear Schrödinger equation with a repulsive Dirac delta potential
Masahiro Ikeda, Takahisa Inui
We consider the focusing mass supercritical semilinear Schrödinger equation with a repulsive Dirac delta potential on the real line (deltaNLS). Our aim in the present paper is to f…
The Cauchy problem for the nonlinear damped wave equation with slowly decaying data
Masahiro Ikeda, Takahisa Inui, Yuta Wakasugi
We study the Cauchy problem for the nonlinear damped wave equation and establish the large data local well-posedness and small data global well-posedness with slowly decaying initi…