On the Dual Petrov-galerkin Formulation of the Kdv Equation on a Finite Interval
نویسندگان
چکیده
An abstract functional framework is developed for the dual Petrov-Galerkin formulation of the initial-boundary-value problems with a third-order spatial derivative. This framework is then applied to study the wellposedness and decay properties of the KdV equation in a finite interval.
منابع مشابه
On the Dual Petrov-galerkin Formulation of the Kdv Equation in a Finite Interval
An abstract functional framework is developed for the dual Petrov-Galerkin formulation of the initial boundary value problems with a third-order spatial derivative. This framework is then applied to study the wellposedness and decay properties of Airy equation and KdV equation in a finite interval.
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