Check nearby libraries
Buy this book
"Among nonlinear PDEs, dispersive and wave equations form an important class of equations. These include the nonlinear Schrodinger equation, the nonlinear wave equation, the Korteweg de Vries equation, and the wave maps equation. This book is an introduction to the methods and results used in the modern analysis (both locally and globally in time) of the Cauchy problem for such equations." "Starting only with a basic knowledge of graduate real analysis and Fourier analysis, the text first presents basic nonlinear tools such as the bootstrap method and perturbation theory in the simpler context of nonlinear ODE, then introduces the harmonic analysis and geometric tools used to control linear dispersive PDE. These methods are then combined to study four model nonlinear dispersive equations. Through extensive exercises, diagrams, and informal discussion, the book gives a rigorous theoretical treatment of the material, the real-world intuition and heuristics that underlie the subject, as well as mentioning connections with other areas of PDE, harmonic analysis, and dynamical systems." "As the subject is vast, the book does not attempt to give a comprehensive survey of the field, but instead concentrates on a representative sample of results for a selected set of equations, ranging from the fundamental local and global existence theorems to very recent results, particularly focusing on the recent progress in understanding the evolution of energy-critical dispersive equations from large data. The book is suitable for a graduate course on nonlinear PDE."--BOOK JACKET
Check nearby libraries
Buy this book
Previews available in: English
Showing 1 featured edition. View all 1 editions?
Edition | Availability |
---|---|
1
Nonlinear dispersive equations: local and global analysis
2006, American Mathematical Society
in English
0821841432 9780821841433
|
aaaa
Libraries near you:
WorldCat
|
Book Details
Edition Notes
"Published for the Conference Board of the Mathematical Sciences."
Includes bibliographical references (p. 363-373).
Classifications
The Physical Object
ID Numbers
Community Reviews (0)
Feedback?History
- Created August 27, 2008
- 16 revisions
Wikipedia citation
×CloseCopy and paste this code into your Wikipedia page. Need help?
July 29, 2023 | Edited by ImportBot | import existing book |
March 7, 2023 | Edited by MARC Bot | import existing book |
December 29, 2022 | Edited by MARC Bot | import existing book |
May 25, 2022 | Edited by ImportBot | import existing book |
August 27, 2008 | Created by ImportBot | Imported from Western Washington University MARC record |