Small critical-norm data yield unique global solutions to supercritical gSQG equations whose critical Sobolev norm decays to zero.
Brezis.Functional Analysis, Sobolev Spaces and Partial Differential Equations
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Asymptotic study of supercritical generalized SQG equations in critical Sobolev spaces
Small critical-norm data yield unique global solutions to supercritical gSQG equations whose critical Sobolev norm decays to zero.