Ill-posedness for the Zakharov system with generalized nonlinearity

Autor:	H. A. Biagioni, F. Linares
Rok vydání:	2003
Předmět:	Sobolev space Well-posed problem Nonlinear system Partial differential equation Criticality Generalization Applied Mathematics General Mathematics Mathematical analysis Initial value problem Zakharov system Mathematics
Zdroj:	Proceedings of the American Mathematical Society. 131:3113-3121
ISSN:	1088-6826 0002-9939
DOI:	10.1090/s0002-9939-03-06898-9
Popis:	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.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::8842a02bf4d41b94dd75e2676f12621a https://doi.org/10.1090/s0002-9939-03-06898-9 Zobrazit plný text záznamu