Inviscid SQG admits global Hamiltonian-conserving weak solutions for every initial datum in the critical Lorentz space L^{4/3,2} on R^2 and smooth bounded domains.
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Weak Solutions for Inviscid SQG with Lorentz Data
Inviscid SQG admits global Hamiltonian-conserving weak solutions for every initial datum in the critical Lorentz space L^{4/3,2} on R^2 and smooth bounded domains.