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- W187525953 abstract "We consider the initial value problem for a (generalized) equation which arises in the study of propagation of unidirectional nonlinear, dispersive waves. The aim is to study the local and global well-posedness of this problem in classical Sobolev spaces Hs. For the associated linear problem sharp local and global smoothing effects are proven. It is shown how to use these effects to establish well-posedness result for the nonlinear problem." @default.
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- W187525953 date "1990-01-01" @default.
- W187525953 modified "2023-09-27" @default.
- W187525953 title "The initial value problem for a class of nonlinear dispersive equations" @default.
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- W187525953 doi "https://doi.org/10.1007/bfb0084903" @default.
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