Ill-posedness for the Zakharov system with generalized nonlinearity

Biagioni, H.; Linares, F.

doi:10.1090/S0002-9939-03-06898-9

Ill-posedness for the Zakharov system with generalized nonlinearity
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by H. A. Biagioni and F. Linares PDF

Proc. Amer. Math. Soc. 131 (2003), 3113-3121 Request permission

Abstract:

We study the ill-posedness question for the one-dimensional Zakharov system and a generalization of it in one and higher dimensions. Our point of reference is the criticality criteria introduced by Ginibre, Tsutsumi and Velo (1997) to establish local well-posedness.

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