Large-Time Behavior of Solutions of Linear Dispersive Equ...
Dix, Daniel B.![Large-Time Behavior of Solutions of Linear Dispersive Equations](https://support.digitalhusky.com/media/annotations/sorted/305/3055991/CHSBZCOP033055991.jpg)
This book studies the large-time asymptotic behavior of solutions of the pure initial value problem for linear dispersive equations with constant coefficients and homogeneous symbols in one space dimension. Complete matched and uniformly-valid asymptotic expansions are obtained and sharp error estimates are proved. Using the method of steepest descent much new information on the regularity and spatial asymptotics of the solutions are also obta...