Introduction to Nonlinear Dispersive Equations

• Main Authors: Linares, Felipe (Author), Ponce, Gustavo (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: New York, NY : Springer New York : Imprint: Springer, 2015.
• Edition: 2nd ed. 2015.
• Series: Universitext,
• Subjects: Mathematics.; Partial differential equations.; Partial Differential Equations.

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 mat...