20 citations · 59 across the 24 of their papers we have counts for
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On stability and instability of standing waves for 2d-nonlinear Schrödinger equations with point interaction
Noriyoshi Fukaya, Vladimir Georgiev, Masahiro Ikeda
We study existence and stability properties of ground-state standing waves for two-dimensional nonlinear Schrödinger equation with a point interaction and a focusing power nonlinea…
Generalized eigenvalues of the Perron-Frobenius operators of symbolic dynamical systems
Hayato Chiba, Masahiro Ikeda, Isao Ishikawa
The generalized spectral theory is an effective approach to analyze a linear operator on a Hilbert space with a continuous spectrum. The generalized spectrum is compu…
Optimal well-posedness and forward self-similar solution for the Hardy-Hénon parabolic equation in critical weighted Lebesgue spaces
Noboru Chikami, Masahiro Ikeda, Koichi Taniguchi
The Cauchy problem for the Hardy-Hénon parabolic equation is studied in the critical and subcritical regime in weighted Lebesgue spaces on the Euclidean space . Well-…
Scattering solutions to nonlinear Schrödinger equation with a long range potential
Masaru Hamano, Masahiro Ikeda
In this paper, we consider a nonlinear Schrödinger equation with a repulsive inverse-power potential. It is known that the corresponding stationary problem has a "radial" ground st…
Stability and instability of radial standing waves to NLKG equation with an inverse-square potential
Masaru Hamano, Masahiro Ikeda
In this paper, we consider radial standing waves to a nonlinear Klein-Gordon equation with a repulsive inverse-square potential. It is known that existence of a "radial" ground sta…