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Endpoint well-posedness for the Boussinesq equation

Chen, Mingjuan et al.
arXiv (All) · Papers
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analysis-of-pdes
We prove small-data global well-posedness for the quadratic good Boussinesq equation on the real line and the circle at the endpoint $H^{-1/2}\times H^{-3/2}$. On each domain, a small invariant spectral set supports a continuous global group, with uniqueness in a fixed local integral class. In the p
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