This paper deals with the well-posedness in $L^1\cap L^\infty$ of the Cauchy problem for the Degasperis-Procesi equation. This is a third order nonlinear dispersive equation in one spatial variable and describes the dynamics of shallow water waves.
Bounded solutions for the Degasperis-Procesi equation
COCLITE, Giuseppe Maria;
2008-01-01
Abstract
This paper deals with the well-posedness in $L^1\cap L^\infty$ of the Cauchy problem for the Degasperis-Procesi equation. This is a third order nonlinear dispersive equation in one spatial variable and describes the dynamics of shallow water waves.File in questo prodotto:
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