Critical SQG in Bounded Domains

Peter Constantin, Mihaela Ignatova

Research output: Contribution to journalArticlepeer-review

33 Scopus citations


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 Cα and Lipschitz bounds for large data.

Original languageEnglish (US)
Article number8
JournalAnnals of PDE
Issue number2
StatePublished - Dec 1 2016

All Science Journal Classification (ASJC) codes

  • Analysis
  • Applied Mathematics
  • Geometry and Topology
  • Mathematical Physics
  • General Physics and Astronomy


  • Bounded domains
  • Global regularity
  • Nonlinear maximum principle
  • SQG


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