TY - BOOK ID - 8061286 TI - Introduction to nonlinear dispersive equations AU - Linares, Felipe. AU - Ponce, Gustavo. PY - 2009 SN - 0387848983 9786612019340 1282019341 0387848991 PB - New York : Springer, DB - UniCat KW - Differential equations, Partial. KW - Nonlinear wave equations. KW - Nonlinear wave equations KW - Differential equations, Partial KW - Engineering & Applied Sciences KW - Applied Mathematics KW - Partial differential equations KW - Mathematics. KW - Partial differential equations. KW - Partial Differential Equations. KW - Math KW - Science KW - Wave equation KW - Differential equations, partial. UR - https://www.unicat.be/uniCat?func=search&query=sysid:8061286 AB - 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. ER -