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- W2953248315 abstract "The 1D Cauchy problem for the Zakharov system is shown to be locally well-posed for low regularity Schrodinger data u_0 in hat{H^{k,p}} and wave data (n_0,n_1) in hat{H^{l,p}} times hat{H^{l-1,p}} under certain assumptions on the parameters k,l and 1 ^k hat{u_0}|_{L^{p'}}, generalizing the results for p=2 by Ginibre, Tsutsumi, and Velo. Especially we are able to improve the results from the scaling point of view, and also allow suitable k<0, l<-1/2, i.e. data u_0 notin L^2 and (n_0,n_1)notin H^{-1/2}times H^{-3/2}, which was excluded in the case p=2." @default.
- W2953248315 created "2019-06-27" @default.
- W2953248315 creator A5040265382 @default.
- W2953248315 date "2006-11-27" @default.
- W2953248315 modified "2023-09-27" @default.
- W2953248315 title "An improved local well-posedness result for the one-dimensional Zakharov system" @default.
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