16 citations · 65 across the 21 of their papers we have counts for
4 papers · 1 filter
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 cubic NLS with a repulsive delta potential
Satoshi Masaki, Jason Murphy, Jun-ichi Segata
We consider the initial-value problem for the cubic nonlinear Schrödinger equation with a repulsive delta potential. We prove that small initial data in a weighted Sobolev spa…
Refinement of Strichartz estimate for Airy equation in non-diagonal case and its application
Satoshi Masaki, Jun-ichi Segata
In this paper, we give an improvement of the Strichartz estimate for Airy equation in the non-diagonal case. As an application, we prove the small data scattering and existence of…
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…