| 書目名稱 | Introduction to Nonlinear Dispersive Equations |
| 編輯 | Felipe Linares,Gustavo Ponce |
| 視頻video | http://file.papertrans.cn/474/473964/473964.mp4 |
| 概述 | Includes a nice selection of topics.Contains a large section of non-standard exercises.Offers accessible presentation of key tools in harmonic and Fourier analysis.Includes supplementary material: |
| 叢書名稱 | Universitext |
| 圖書封面 |  |
| 描述 | .This textbook introduces the well-posedness theory for initial-value problems of nonlinear, dispersive partial differential equations, with special focus on two key models, the Korteweg–de Vries equation and the nonlinear Schr?dinger equation. A concise and self-contained treatment of background material (the Fourier transform, interpolation theory, Sobolev spaces, and the linear Schr?dinger equation) prepares the reader to understand the main topics covered: the initial-value problem for the nonlinear Schr?dinger equation and the generalized Korteweg–de Vries equation, properties of their solutions, and a survey of general classes of nonlinear dispersive equations of physical and mathematical significance. Each chapter ends with an expert account of recent developments and open problems, as well as exercises. The final chapter gives a detailed exposition of local well-posedness for the nonlinear Schr?dinger equation, taking the reader to the forefront of recent research..Thesecond edition of .Introduction to Nonlinear Dispersive Equations. builds upon the success of the first edition by the addition of updated material on the main topics, an expanded bibliography, and new exercis |
| 出版日期 | Textbook 2015Latest edition |
| 關鍵詞 | Korteweg-de Vries Equation; Marcinkiewicz interpolation theorem; Riesz–Thorin convexity theorem; Stein |
| 版次 | 2 |
| doi | https://doi.org/10.1007/978-1-4939-2181-2 |
| isbn_softcover | 978-1-4939-2180-5 |
| isbn_ebook | 978-1-4939-2181-2Series ISSN 0172-5939 Series E-ISSN 2191-6675 |
| issn_series | 0172-5939 |
| copyright | Springer-Verlag New York 2015 |
|Archiver|手機版|小黑屋|
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