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 (3)

• Global well-posedness for the critical 2D dissipative quasi-geostrophic equation
• Regularity of Hölder continuous solutions of the supercritical quasi-geostrophic equation
• On the loss of continuity for super-critical drift-diffusion equations

Cited by in corpus (1)

• Global weak solutions for SQG in bounded domains