Introduction to Nonlinear Dispersive Equations is popular PDF and ePub book, written by Felipe Linares in 2014-12-15, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Introduction to Nonlinear Dispersive Equations can be Read Online from any device for your convenience.
Introduction to Nonlinear Dispersive Equations Book PDF Summary
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. The second 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 exercises. Assuming only basic knowledge of complex analysis and integration theory, this book will enable graduate students and researchers to enter this actively developing field.
Detail Book of Introduction to Nonlinear Dispersive Equations PDF
- Author : Felipe Linares
- Release : 15 December 2014
- Publisher : Springer
- ISBN : 9781493921812
- Genre : Mathematics
- Total Page : 308 pages
- Language : English
- PDF File Size : 12,8 Mb
If you're still pondering over how to secure a PDF or EPUB version of the book Introduction to Nonlinear Dispersive Equations by Felipe Linares, don't worry! All you have to do is click the 'Get Book' buttons below to kick off your Download or Read Online journey. Just a friendly reminder: we don't upload or host the files ourselves.