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• W3103030188 abstract "We consider the dissipative SQG equation in bounded domains, first introduced by Constantin and Ignatova in 2016. We show global Holder regularity up to the boundary of the solution, with a method based on the De Giorgi techniques. The boundary introduces several difficulties. In particular, the Dirichlet Laplacian is not translation invariant near the boundary, which leads to complications involving the Riesz transform." @default.
• W3103030188 created "2020-11-23" @default.
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• W3103030188 date "2020-02-19" @default.
• W3103030188 modified "2023-10-06" @default.
• W3103030188 title "Hölder Regularity up to the Boundary for Critical SQG on Bounded Domains" @default.
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• W3103030188 doi "https://doi.org/10.1007/s00205-020-01498-3" @default.
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