Global regularity of critical SQG via a pointwise Leibniz commutator formula

Michele Caselli

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arXiv · 2608.24375

Global regularity of critical SQG via a pointwise Leibniz commutator formula

Michele Caselli

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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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Michele Caselli. 2026-08-25. Global regularity of critical SQG via a pointwise Leibniz commutator formula. https://arxiv.org/abs/2608.24375

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