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math.AP2026
Global regularity of critical SQG via a pointwise Leibniz commutator formula
Michele Caselli
We give a short proof of global regularity for the critical dissipative SQG equation in two dimensions. The argument is based on a pointwise representation of the Leibniz commutato…
math.AP2026
A new Duhamel-type principle with applications to geometric (in)equalities
Michele Caselli, Luca Gennaioli
We introduce a simple new method, based on the Caffarelli-Silvestre extension and a Duhamel-type formula, to derive exact pointwise identities for fractional commutators and nonlin…