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Global well-posedness of non-integrable hyperbolic-ellptic Ishimori system in the critical Sobolev space
We consider the Cauchy problem for the hyperbolic-elliptic Ishimori system with general decoupling constant $κ\in \mathbb{R}$ and prove global well-posedness in the critical Sobolev space. The proof relies primarily on new bilinear estimates, which are established via a novel div-curl lemma first in
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