Soichiro Suzuki

activity

20222026

most citedThe uncertainty principle and energy decay estimates of the fractional Klein-Gordon equation with space-dependent damping

2 citations · 3 across the 9 of their papers we have counts for

collaborators

Showing math.APShow all

5 papers · 1 filter

math.AP2025

Optimal constants of smoothing estimates for the Dirac equation in arbitrary dimensions

Soichiro Suzuki

We give optimal constants of smoothing estimates for the $d$ -dimensional free Dirac equation for any $d \geq 2$ . Our main abstract theorem shows that the optimal constant $C$ of th…

math.AP2024

Optimal constants of smoothing estimates for the 3D Dirac equation

Makoto Ikoma, Soichiro Suzuki

Recently, Ikoma (2022) considered optimal constants and extremisers for the $2$ -dimensional Dirac equation using the spherical harmonics decomposition. Though its argument is valid…

math.AP2023★ 1 cited

Optimal constants of smoothing estimates for Dirac equations with radial data

Makoto Ikoma, Soichiro Suzuki

Kato--Yajima smoothing estimates are one of the fundamental results in study of dispersive equations such as Schrödinger equations and Dirac equations. For $d$ -dimensional Schrödin…

math.AP2022★ 2 cited

The uncertainty principle and energy decay estimates of the fractional Klein-Gordon equation with space-dependent damping

Soichiro Suzuki

We consider the $s$ -fractional Klein-Gordon equation with space-dependent damping on $R^{d}$ . Recent studies reveal that the so-called geometric control conditions (GCC) are…

math.AP2022

Equivalence between the energy decay of fractional damped Klein-Gordon equations and geometric conditions for damping coefficients

Kotaro Inami, Soichiro Suzuki

We consider damped $s$ -fractional Klein--Gordon equations on $R^{d}$ , where $s$ denotes the order of the fractional Laplacian. In the one-dimensional case $d = 1$ , Green (20…