16 citations · 106 across the 33 of their papers we have counts for
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Long range scattering for nonlinear Schrödinger equations with critical homogeneous nonlinearity
Satoshi Masaki, Hayato Miyazaki
In this paper, we consider the final state problem for the nonlinear Schrödinger equation with a homogeneous nonlinearity which is of the long range critical order and is not neces…
Global behavior of solutions to generalized Gross-Pitaevskii equation
Satoshi Masaki, Hayato Miyazaki
This paper is concerned with time global behavior of solutions to nonlinear Schrödinger equation with a non-vanishing condition at the spatial infinity. Under a non-vanishing condi…
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…
Large data mass-subcritical NLS: critical weighted bounds imply scattering
Rowan Killip, Satoshi Masaki, Jason Murphy +1
We consider the mass-subcritical nonlinear Schrödinger equation in all space dimensions with focusing or defocusing nonlinearity. For such equations with critical regularity $s_c\i…
Two minimization problems on non-scattering solutions to mass-subcritical nonlinear Schrödinger equation
Satoshi Masaki
In this paper, we introduce two minimization problems on non-scattering solutions to nonlinear Schrödinger equation. One gives us a sharp scattering criterion, the other is concern…
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…