Titlebook: Dispersive Equations and Nonlinear Waves; Generalized Korteweg Herbert Koch,Daniel Tataru,Monica Vi?an Textbook 2014 Springer Basel 2014 Fo

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Schr?dinger mapsHere we consider Schr?dinger maps ., and prove the small data result in Theorem 3.8. We recall that in . space dimensions the initial data belongs to the space .. To keep the notations simple we will confine the discussion to the energy critical case . = 2; this is also the most difficult case.

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Dispersive Equations and Nonlinear Waves978-3-0348-0736-4Series ISSN 1661-237X Series E-ISSN 2296-5041

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https://doi.org/10.1007/978-3-319-77727-6 [7] and by Grünrock for the Airy equation [10] and the Kadomtsev–Petviashvili II equation [11]. The bilinear estimates for the Kadomtsev–Petviashvili equation have been influenced by the careful work of M. Hadac. Bilinear estimates are standard tools in dispersive equations.

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The British Cinema Boom, 1909–1914re higher order terms – the precise meaning of higher order term depends on the context and the relevant scales – are neglected. Often a Taylor expansion of a Fourier multiplier is part of that process.