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arXiv · 1906.01956

Local and global well-posedness of dispersion generalized Benjamin-Ono equations on the circle

Robert Schippa
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Abstract

New local well-posedness results for dispersion generalized Benjamin-Ono equations on the torus are proved. The family of equations under consideration links the Benjamin-Ono and Korteweg-de Vries equation. For sufficiently high dispersion global well-posedness in $L^2(\mathbb{T})$ is derived.

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Robert Schippa. 2019-06-05. Local and global well-posedness of dispersion generalized Benjamin-Ono equations on the circle. https://doi.org/10.1016/j.na.2020.111777

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