20 citations · 59 across the 20 of their papers we have counts for
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Krylov Subspace Method for Nonlinear Dynamical Systems with Random Noise
Yuka Hashimoto, Isao Ishikawa, Masahiro Ikeda +2
Operator-theoretic analysis of nonlinear dynamical systems has attracted much attention in a variety of engineering and scientific fields, endowed with practical estimation methods…
Metric on random dynamical systems with vector-valued reproducing kernel Hilbert spaces
Isao Ishikawa, Akinori Tanaka, Masahiro Ikeda +1
Development of metrics for structural data-generating mechanisms is fundamental in machine learning and the related fields. In this paper, we give a general framework to construct…
Small data blow-up of semi-linear wave equation with scattering dissipation and time-dependent mass
Masahiro Ikeda, Ziheng Tu, Kyouhei Wakasa
In the present paper, we study small data blow-up of the semi-linear wave equation with a scattering dissipation term and a time-dependent mass term from the aspect of wave-like be…
Global dynamics below the ground state for the focusing Schrödinger equation with a potential
Masaru Hamano, Masahiro Ikeda
In this paper, we consider the nonlinear Schrödinger equation with a real valued potential V=V(x). We study global behavior of solutions to the equation with a data below the groun…
Scattering for the one-dimensional Klein-Gordon equation with exponential nonlinearity
Masahiro Ikeda, Takahisa Inui, Mamoru Okamoto
We consider the asymptotic behavior of solutions to the Cauchy problem for the defocusing nonlinear Klein-Gordon equation (NLKG) with exponential nonlinearity in the one spatial di…
Global well-posedness, dissipation and blow up for semilinear heat equations in energy spaces associated with self-adjoint operators
Masahiro Ikeda, Koichi Taniguchi
The purpose in this paper is to determine the global behavior of solutions to the initial-boundary value problems for energy-subcritical and critical semilinear heat equations by i…