Critical SQG in bounded domains

Peter Constantin; Mihaela Ignatova

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arXiv · 1607.02990

Critical SQG in bounded domains

Peter Constantin·Mihaela Ignatova

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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.

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Peter Constantin, Mihaela Ignatova. 2016-07-11. Critical SQG in bounded domains. https://arxiv.org/abs/1607.02990

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