1 citations · 2 across the 6 of their papers we have counts for
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On asymptotic behavior of solutions to cubic nonlinear Klein-Gordon systems in one space dimension
Satoshi Masaki, Jun-ichi Segata, Kota Uriya
In this paper, we consider the large time asymptotic behavior of solutions to systems of two cubic nonlinear Klein-Gordon equations in one space dimension. We classify the systems…
Long range scattering for the nonlinear Schr"odinger equation with higher order anisotropic dispersion in two dimensions
Jean-Claude Saut, Jun-ichi Segata
This paper is a continuation of our previous study on the long time behavior of solution to the nonlinear Schr"odinger equation with higher order anisotropic dispersion (4NLS). We…
Long range scattering for the complex-valued Klein-Gordon equation with quadratic nonlinearity in two dimensions
Satoshi Masaki, Jun-ichi Segata, Kota Uriya
In this paper, we study large time behavior of complex-valued solutions to nonlinear Klein-Gordon equation with a gauge invariant quadratic nonlinearity in two spatial dimensions.…
Stability of small solitary waves for the 1 NLS with an attractive delta potential
Satoshi Masaki, Jason Murphy, Jun-ichi Segata
We consider the initial-value problem for the one-dimensional nonlinear Schrödinger equation in the presence of an attractive delta potential. We show that for sufficiently small i…
Asymptotic behavior in time of solution to the nonlinear Schr"odinger equation with higher order anisotropic dispersion
Jean-Claude Saut, Jun-ichi Segata
We consider the asymptotic behavior in time of solutions to the nonlinear Schr"odinger equation with fourth order anisotropic dispersion (4NLS) which describes the propagation of u…
Modified scattering for the Klein-Gordon equation with the critical nonlinearity in three dimensions
Satoshi Masaki, Jun-ichi Segata
In this paper, we consider the final state problem for the nonlinear Klein-Gordon equation (NLKG) with a critical nonlinearity in three space dimensions. We prove that for a given…