Construction of solutions of the critical SQG equation in bounded domains (Q2001597)
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scientific article; zbMATH DE number 7078829
| Language | Label | Description | Also known as |
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| English | Construction of solutions of the critical SQG equation in bounded domains |
scientific article; zbMATH DE number 7078829 |
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Construction of solutions of the critical SQG equation in bounded domains (English)
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10 July 2019
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This is a very nice paper which constructs global interior Lipschitz solutions for the critical dissipative SQG equation in bounded domains, with the square root of the Dirichlet Laplacian dissipation. Prior to this work, only a priori interior Hölder continuity was known [\textit{P. Constantin} and the author, Ann. PDE 2, No. 2, Paper No. 8, 42 p. (2016; Zbl 1397.35202)].
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SQG
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global regularity
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nonlinear maximum principle
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bounded domains
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