65 citations · 549 across the 75 of their papers we have counts for
76 papers
On solitary wave solutions with two-frequency parameters to the three-component system of quadratic nonlinear Schrödinger equations
Hiroyuki Hirayama, Masahiro Ikeda
In the present paper, we consider the Cauchy problem of a system of three nonlinear Schrödinger equations with quadratic nonlinearity. We first prove the existence of ground states…
Koopman spectral analysis of skew-product dynamics on Hilbert -modules
Dimitrios Giannakis, Yuka Hashimoto, Masahiro Ikeda +2
We introduce a linear operator on a Hilbert -module for analyzing skew-product dynamical systems. The operator is defined by composition and multiplication. We show that it ad…
Variational problems for the system of nonlinear Schrödinger equations with derivative nonlinearities
Hiroyuki Hirayama, Masahiro Ikeda
We consider the Cauchy problem of the system of nonlinear Schrödinger equations with derivative nonlinearlity. This system was introduced by Colin-Colin (2004) as a model of laser-…
Lifespan estimates for semilinear damped wave equation in a two-dimensional exterior domain
Masahiro Ikeda, Motohiro Sobajima, Koichi Taniguchi +1
Lifespan estimates for semilinear damped wave equations of the form in a two dimensional exterior domain endowed with the Dirichlet boundary co…
Deep Learning with Kernels through RKHM and the Perron-Frobenius Operator
Yuka Hashimoto, Masahiro Ikeda, Hachem Kadri
Reproducing kernel Hilbert -module (RKHM) is a generalization of reproducing kernel Hilbert space (RKHS) by means of -algebra, and the Perron-Frobenius operator is a line…
Scattering and blow-up dichotomy of the energy-critical nonlinear Schrödinger equation with the inverse-square potential
Masaru Hamano, Masahiro Ikeda
In this paper, we consider the energy critical nonlinear Schrödinger equation with a repulsive inverse square potential. In particular, we deal with radial initial data, whose ener…