Koichi Komada

collaborators

3 papers

math.AP2026

Scattering of non-radial solutions for the fourth-order Schrödinger equation with $H ˙^{1/2}$ -critical and supercritical nonlinearity

Takahisa Inui, Koichi Komada, Kuranosuke Nishimura

We consider the focusing nonlinear fourth-order Schrödinger equation \begin{equation*} i \partial_t u + μΔu - Δ^2 u = - |u|^{p-1} u, \ \ \ (t,x) \in \mathbb{R} \times \mathbb{R}^d,…

math.AP2026

Scattering of group-invariant solutions below the ground state for the fourth-order NLS

Koichi Komada

We consider the focusing, $L^{2}$ -supercritical and $H ˙^{2}$ -subcritical nonlinear fourth-order Schrödinger equation. The scattering of radially symmetric solutions below the grou…

math.AP2023

Scattering for the focusing, $L^{2}$ -supercritical fourth-order NLS in one dimension

Koichi Komada, Satoshi Masaki

In this paper, we consider the fourth-order Schrödinger equations with focusing, $L^{2}$ -supercritical nonlinearity in one dimension. We prove the global existence and scattering of…

Scattering of non-radial solutions for the fourth-order Schrödinger equation with H˙1/2-critical and supercritical nonlinearity

Scattering of group-invariant solutions below the ground state for the fourth-order NLS

Scattering for the focusing, L2-supercritical fourth-order NLS in one dimension

Scattering of non-radial solutions for the fourth-order Schrödinger equation with $H ˙^{1/2}$ -critical and supercritical nonlinearity

Scattering for the focusing, $L^{2}$ -supercritical fourth-order NLS in one dimension