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Sharp local well-posedness for the “good” Boussinesq equation [PDF]

open access: yesJournal of Differential Equations, 2013
In the present article, we prove the sharp local well-posedness and ill-posedness results for the "good" Boussinesq equation on 1d torus; the initial value problem is locally well-posed in H[−1/2](T) and ill-posed in H[s](T) for s (-3/8) given by Oh ...
Kishimoto, Nobu, Nobu Kishimoto
exaly   +2 more sources
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