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Local and global well-posedness of dispersion generalized Benjamin-Ono equations on the circle (1906.01956v1)
Published 5 Jun 2019 in math.AP
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 $L2(\mathbb{T})$ is derived.
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