Well-posedness and smoothing effect for generalized nonlinear Schrödinger equations
Résumé
We improve the result obtained by one of the authors, [Bie], and establish the well posed-ness of the Cauchy problem for some nonlinear equations of Schrödinger type in the usual Sobolev space H s (R n) for s > n 2 + 2 instead of s > n 2 + 3 in [Bie]. We also improve the smoothing effect of the solution and obtain the optimal exponent.
Origine : Fichiers produits par l'(les) auteur(s)
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