Critical SQG in bounded domains

Mihaela Ignatova; Peter Constantin

arxiv: 1607.02990 · v1 · pith:Y7V5JN7Unew · submitted 2016-07-11 · 🧮 math.AP

Critical SQG in bounded domains

Peter Constantin , Mihaela Ignatova This is my paper

classification 🧮 math.AP

keywords boundedcriticaldomainsalphaboundsconsiderdatadirichlet

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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.

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Critical SQG in bounded domains

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