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math.AP2001
On solutions for the Kadomtsev-Petviashvili I equation
J. Colliander, C. Kenig, G. Staffilani
Oscillatory integral techniques are used to study the well-posedness of the KP-I equation for initial data that are small with respect to the norm of a weighted Sobolev space invol…
math.AP2001
The generalized Korteweg-de Vries equation on the half line
J. E. Colliander, C. E. Kenig
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 V…