By Felipe Linares,Gustavo Ponce
The goal of this textbook is to introduce the idea of nonlinear dispersive equations to graduate scholars in a confident means. the 1st 3 chapters are devoted to initial fabric, corresponding to Fourier remodel, interpolation idea and Sobolev areas. The authors then continue to take advantage of the linear Schrodinger equation to explain homes loved by way of basic dispersive equations. this knowledge is then used to regard neighborhood and international well-posedness for the semi-linear Schrodinger equations. the tip of every bankruptcy includes contemporary advancements and open difficulties, in addition to exercises.
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Introduction to Nonlinear Dispersive Equations (Universitext) by Felipe Linares,Gustavo Ponce