From Stationary Phase to Steepest Descent
Mathematical Physics
2008-12-01 v5 math.MP
Abstract
Our aim here is to clarify the distinction between the nonlinear-stationary-phase idea and the nonlinear-steepest-descent idea, stressing the importance of actual steepest-descent contours in some problems. We mostly use the nonlinear Schr\"odinger equation as our working model, but we also digress to the KdV equation at some point. This is a slightly revised version of a review paper that will appear in the forthcoming volume (Contemporary Mathematics, AMS) honoring Percy Deift.
Keywords
Cite
@article{arxiv.math-ph/0701033,
title = {From Stationary Phase to Steepest Descent},
author = {Spyridon Kamvissis},
journal= {arXiv preprint arXiv:math-ph/0701033},
year = {2008}
}
Comments
Dedicated to Percy Deift on his 60th birthday