Introduction to Nonlinear Dispersive Equations

• Κύριοι συγγραφείς: Ponce, Gustavo (Συγγραφέας), Linares, Felipe (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: New York, NY : Springer New York, 2009.
• Σειρά: Universitext
• Θέματα: Mathematics.; Partial differential equations.; Partial Differential Equations.
• Φυσική περιγραφή: XII, 260 p. online resource.
• ISBN: 9780387848990

The aim of this textbook is to introduce the theory of nonlinear dispersive equations to graduate students in a constructive way. The first three chapters are dedicated to preliminary material, such as Fourier transform, interpolation theory and Sobolev spaces. The authors then proceed to use the linear Schrodinger equation to describe properties enjoyed by general dispersive equations. This information is then used to treat local and global well-posedness for the semi-linear Schrodinger equations. The end of each chapter contains recent developments and open problems, as well as exercises.