The nonlinear steepest descent method: Asymptotics for initial-boundary value problems
Analysis of PDEs
2016-04-04 v2
Abstract
We consider the rigorous derivation of asymptotic formulas for initial-boundary value problems using the nonlinear steepest descent method. We give detailed derivations of the asymptotics in the similarity and self-similar sectors for the mKdV equation in the quarter plane. Precise and uniform error estimates are presented in detail.
Cite
@article{arxiv.1502.00217,
title = {The nonlinear steepest descent method: Asymptotics for initial-boundary value problems},
author = {Jonatan Lenells},
journal= {arXiv preprint arXiv:1502.00217},
year = {2016}
}
Comments
38 pages, minor corrections, improved presentation. arXiv admin note: text overlap with arXiv:1501.05329