Maurilio Marcio Melo
Abstract:
In this article we study the Cauchy problem in
(the algebra of generalized functions, in the sense of Colombeau)
for the generalized Korteweg-de Vries equation, with
initial condition
,
which contains
, for
.
Submitted October 16, 2009. Published August 5, 2010.
Math Subject Classifications: 35D05, 35Q20.
Key Words: gKdV equation; generalized solution; singular initial condition
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Maurílio Márcio Melo Instituto de Matemática e Estatística Universidade Federalde Goiás Caixa Postal 131, 74001-970 - Goiânia, Brazil email: melo@mat.ufg.br |
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