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.
Semilinear Schrödinger equations, volume 10 of Courant Lecture Notes in Mathematics
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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.