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math.AP2026
On weighted estimates involving singular weights for the Dirac equation
Seongyeon Kim, Ihyeok Seo
We obtain weighted estimates for solutions to the Dirac equation with weights in the Kerman-Sawyer class. This class has been introduced as a necessary and sufficient conditi…
math.AP2026
Remarks on the well-posedness of the energy-critical inhomogeneous Hartree equation
Seongyeon Kim, Tarek Saanouni, Ihyeok Seo
We study the energy-critical inhomogeneous Hartree equation in space dimensions three and higher. Previous local well-posedness results left open the parameter regime where the inh…