By Felipe Linares,Gustavo Ponce
The goal of this textbook is to introduce the idea of nonlinear dispersive equations to graduate scholars in a optimistic manner. the 1st 3 chapters are devoted to initial fabric, equivalent to Fourier rework, interpolation idea and Sobolev areas. The authors then continue to exploit the linear Schrodinger equation to explain homes loved via basic dispersive equations. this data is then used to regard neighborhood and international well-posedness for the semi-linear Schrodinger equations. the top of every bankruptcy includes fresh advancements and open difficulties, in addition to exercises.
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Additional info for Introduction to Nonlinear Dispersive Equations (Universitext)
Introduction to Nonlinear Dispersive Equations (Universitext) by Felipe Linares,Gustavo Ponce