Critical SQG in bounded domains

Abstract

We consider the critical dissipative SQG equation in bounded domains, with the square root of the Dirichlet Laplacian dissipation. We prove global a priori interior $C^{\alpha }$ and Lipschitz bounds for large data.

References in corpus (1)

• Global well-posedness for the critical 2D dissipative quasi-geostrophic equation

Cited by in corpus (1)

• Global weak solutions for SQG in bounded domains