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.
Citation
Olivier Goubet. Jie Shen. "On the dual Petrov-Galerkin formulation of the KdV equation on a finite interval." Adv. Differential Equations 12 (2) 221 - 239, 2007. https://doi.org/10.57262/ade/1355867476
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