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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Structure of the Financial Systemeralization of the Riemann–Stieltjes integral to functions of bounded .-variation against the derivative of a function of bounded .-variation, 1. + 1. 1, is due to Young [34]. Much later Lyons developed his theory of rough paths [23] and [24], building on Young’s ideas, but going much further.

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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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https://doi.org/10.1007/978-3-319-77727-6The first example describes the interaction of three waves of different velocities. It is elementary and displays the role of adapted function spaces on an elementary level. The limitations of our current understanding become obvious as well: The result should remain true under small perturbations o

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Well-posedness for nonlinear dispersive equationson an elementary level. The limitations of our current understanding become obvious as well: The result should remain true under small perturbations of the system, but I have no idea how to approach perturbed equations.

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1661-237X al blow up solutions and interaction Morawetz estimates.IntrThe first part of the book provides an introduction to key tools and techniques in dispersive equations: Strichartz estimates, bilinear estimates, modulation and adapted function spaces, with an application to the generalized Korteweg-de Vr

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