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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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發(fā)表于 2025-3-21 17:47:24 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
書目名稱Dispersive Equations and Nonlinear Waves
副標(biāo)題Generalized Korteweg
編輯Herbert Koch,Daniel Tataru,Monica Vi?an
視頻videohttp://file.papertrans.cn/282/281523/281523.mp4
概述Exposition of central ideas in dispersive equations.Basic techniques and function spaces.Coherent introduction to induction on energy, minimal blow up solutions and interaction Morawetz estimates.Intr
叢書名稱Oberwolfach Seminars
圖書封面Titlebook: Dispersive Equations and Nonlinear Waves; Generalized Korteweg Herbert Koch,Daniel Tataru,Monica Vi?an Textbook 2014 Springer Basel 2014 Fo
描述The 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 Vries equation and the Kadomtsev-Petviashvili equation. The energy-critical nonlinear Schr?dinger equation, global solutions to the defocusing problem, and scattering are the focus of the second part. Using this concrete example, it walks the reader through the induction on energy technique, which has become the essential methodology for tackling large data critical problems. This includes refined/inverse Strichartz estimates, the existence and almost periodicity of minimal blow up solutions, and the development of long-time Strichartz inequalities. The third part describes wave and Schr?dinger maps. Starting by building heuristics about multilinear estimates, it provides a detailed outline of this very active area of geometric/dispersive PDE. It focuses on concepts and ideas and should provide graduate students with a stepping stone to this exciting direction of research.?
出版日期Textbook 2014
關(guān)鍵詞Fourier transform; dispersion; wave interaction; wave propagation; partial differential equations
版次1
doihttps://doi.org/10.1007/978-3-0348-0736-4
isbn_softcover978-3-0348-0735-7
isbn_ebook978-3-0348-0736-4Series ISSN 1661-237X Series E-ISSN 2296-5041
issn_series 1661-237X
copyrightSpringer Basel 2014
The information of publication is updating

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