Maurilio Marcio Melo
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
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