Calculus of Variations and Geometric Measure Theory

M. Caselli

Global regularity of critical SQG via a pointwise Leibniz commutator formula

created by caselli on 25 Aug 2026

[BibTeX]

Preprint

Inserted: 25 aug 2026
Last Updated: 25 aug 2026

Pages: 9
Year: 2026

Abstract:

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 commutator for the half-Laplacian, recently obtained by the author with Luca Gennaioli, which simplifies and unifies the nonlinear estimates used in previous maximum principle proofs.


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