One base multiplier estimate is shown to imply sharp local well-posedness and nonlinear smoothing for all higher nonlinearity orders and all higher dimensions, with applications to gKdV, gZK, and NLS.
Burak Erdoğan, T
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Sharp local existence and nonlinear smoothing for dispersive equations with higher-order nonlinearities
One base multiplier estimate is shown to imply sharp local well-posedness and nonlinear smoothing for all higher nonlinearity orders and all higher dimensions, with applications to gKdV, gZK, and NLS.