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Ill-posedness for the Zakharov system with generalized nonlinearity
Author(s):
H.
A.
Biagioni;
F.
Linares
Journal:
Proc. Amer. Math. Soc.
131
(2003),
3113-3121.
MSC (2000):
Primary 35Q55, 35Q51
Posted:
February 6, 2003
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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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Additional Information:
H.
A.
Biagioni
Affiliation:
Departamento de Matemática, IMECC-UNICAMP, 13081-970, Campinas, SP, Brasil
Email:
hebe@ime.unicamp.br
F.
Linares
Affiliation:
Instituto de Matemática Pura e Aplicada, 22460-320, Rio de Janeiro, Brasil
Email:
linares@impa.br
DOI:
10.1090/S0002-9939-03-06898-9
PII:
S 0002-9939(03)06898-9
Keywords:
Ill-posedness,
Zakharov system
Received by editor(s):
June 15, 2001
Received by editor(s) in revised form:
April 28, 2002
Posted:
February 6, 2003
Communicated by:
David S. Tartakoff
Copyright of article:
Copyright
2003,
American Mathematical Society
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