16 citations · 106 across the 33 of their papers we have counts for
3 papers · 1 filter
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…
The radial mass-subcritical NLS in negative order Sobolev spaces
Rowan Killip, Satoshi Masaki, Jason Murphy +1
We consider the mass-subcritical NLS in dimensions with radial initial data. In the defocusing case, we prove that any solution that remains bounded in the critical Sobol…