18 citations · 54 across the 13 of their papers we have counts for
13 papers
Long-range scattering for a critical homogeneous type nonlinear Schrödinger equation with time-decaying harmonic potentials
Masaki Kawamoto, Hayato Miyazaki
This paper is concerned with the final state problem for the homogeneous type nonlinear Schrödinger equation with time-decaying harmonic potential. The nonlinearity has the critica…
Modified scattering for inhomogeneous nonlinear Schrödinger equations with and without inverse-square potential
Kazuki Aoki, Takahisa Inui, Hayato Miyazaki +2
We consider the final state problem for the inhomogeneous nonlinear Schrödinger equation with a critical long-range nonlinearity. Given a prescribed asymptotic profile, which has a…
Asymptotic behavior for the long-range nonlinear Schrödinger equation on star graph with the Kirchhoff boundary condition
Kazuki Aoki, Takahisa Inui, Hayato Miyazaki +2
We consider the cubic nonlinear Schrödinger equation on the star graph with the Kirchhoff boundary condition. We prove modified scattering for the final state problem and the initi…
Lifespan of solutions to nonlinear Schrödinger equations with general homogeneous nonlinearity of the critical order
Hayato Miyazaki, Motohiro Sobajima
This paper is concerned with the upper bound of the lifespan of solutions to nonlinear Schrödinger equations with general homogeneous nonlinearity of the critical order. In [8], Ma…
Strong blow-up instability for standing wave solutions to the system of the quadratic nonlinear Klein-Gordon equations
Hayato Miyazaki
This paper is concerned with strong blow-up instability (Definition 1.3) for standing wave solutions to the system of the quadratic nonlinear Klein-Gordon equations. In the single…
Local well-posedness for the higher-order generalized KdV type equation with low-degree of nonlinearity
Hayato Miyazaki
This paper is concerned with the local well-posedness for the higher-order generalized KdV type equation with low-degree of nonlinearity. The equation arises as a non-integrable an…
On a class of solutions to the generalized KdV type equation
Felipe Linares, Hayato Miyazaki, Gustavo Ponce
We consider the IVP associated to the generalized KdV equation with low degree of non-linearity \begin{equation*} \partial_t u + \partial_x^3 u \pm |u|^α\partial_x u = 0,\; x,t \in…
Nonexistence of scattering and modified scattering states for some nonlinear Schrödinger equation with critical homogeneous nonlinearity
Satoshi Masaki, Hayato Miyazaki
We consider large time behavior of solutions to the nonlinear Schrödinger equation with a homogeneous nonlinearity of the critical order which is not necessarily a polynomial. We t…
Long range scattering for nonlinear Schrödinger equations with critical homogeneous nonlinearity in three space dimensions
Satoshi Masaki, Hayato Miyazaki, Kota Uriya
In this paper, we consider the final state problem for the nonlinear Schrödinger equation with a homogeneous nonlinearity of the critical order which is not necessarily a polynomia…
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…
The derivation of conservation laws for nonlinear Schroedinger equations with a power type nonlinearity
Kazumasa Fujiwara, Hayato Miyazaki
For nonlinear Schroedinger equations with a power nonlinearity, a new approach to derive the conservation law of the momentum and the pseudo conformal conservation law is obtained.…
The derivation of the conservation law for defocusing nonlinear Schroedinger equations with non-vanishing initial data at infinity
Hayato Miyazaki
For nonlinear Schrödinger equations in less than or equal to four dimension, with non-vanishing initial data at infinity, a new approach to derive the conservation law is obtained.…