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The generalized KdV equation on the half-line


Speaker: Jim Colliander, UC Berkeley
Location: 693 Kerr
Start time: Tue, Jan 30 2001, 4:10PM

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 value problem by a forced initial value problem. The forcing is selected to satisfy the boundary condition by inverting a Riemann-Liouville fractional integral.