Mathematics – Analysis of PDEs
Scientific paper
2001-11-28
Mathematics
Analysis of PDEs
added references, fixed typos
Scientific paper
The initial-boundary value problem for the generalized Korteweg-de Vries equation on a half-line is studied by adapting the initial value techniques developed by Kenig, Ponce and Vega and Bourgain to the initial-boundary setting. The approach consists of replacing the initial-boundary problem by a forced initial value problem. The forcing is selected to satisfy the boundary condition by inverting a Riemann-Liouville fractional integral.
Colliander James Ellis
Kenig Carlos E.
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