| 书目名称 | Introduction to Nonlinear Dispersive Equations |
| 编辑 | Felipe Linares,Gustavo Ponce |
| 视频video | |
| 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: |
| 丛书名称 | Universitext |
| 图书封面 |  |
| 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 Schrödinger equation. A concise and self-contained treatment of background material (the Fourier transform, interpolation theory, Sobolev spaces, and the linear Schrödinger equation) prepares the reader to understand the main topics covered: the initial-value problem for the nonlinear Schrödinger 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 Schrödinger 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 |
| 关键词 | 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 |
发表于 2025-3-21 19:09:27
