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math.AP2025
Optimal constants of smoothing estimates for the 3D Dirac equation
Makoto Ikoma, Soichiro Suzuki
Recently, Ikoma (2022) considered optimal constants and extremisers for the -dimensional Dirac equation using the spherical harmonics decomposition. Though its argument is valid…
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 -dimensional free Dirac equation for any . Our main abstract theorem shows that the optimal constant of sm…