Unique existence of strong solutions to the inviscid SQG equation is established in the critical Besov space dot B^2_{2,1} on a bounded domain with homogeneous Dirichlet boundary conditions.
Chae,Local existence and blow-up criterion for the Euler equations in the Besov spaces, Asymptot
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Unique existence of solutions to the inviscid SQG equation in a critical space
Unique existence of strong solutions to the inviscid SQG equation is established in the critical Besov space dot B^2_{2,1} on a bounded domain with homogeneous Dirichlet boundary conditions.