On the dual Petrov-Galerkin formulation of the KDV equation on a finite interval

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Abstract

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.

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Goubet, O., & Shen, J. (2007). On the dual Petrov-Galerkin formulation of the KDV equation on a finite interval. Advances in Differential Equations, 12(2), 221–239. https://doi.org/10.57262/ade/1355867476

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