Soichiro Suzuki

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20242026

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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…