{ "id": "1607.02990", "version": "v1", "published": "2016-07-11T15:07:17.000Z", "updated": "2016-07-11T15:07:17.000Z", "title": "Critical SQG in bounded domains", "authors": [ "Peter Constantin", "Mihaela Ignatova" ], "categories": [ "math.AP" ], "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.", "revisions": [ { "version": "v1", "updated": "2016-07-11T15:07:17.000Z" } ], "analyses": { "subjects": [ "35Q35", "35Q86" ], "keywords": [ "bounded domains", "critical sqg", "dirichlet laplacian dissipation", "critical dissipative sqg equation", "lipschitz bounds" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }