The initial value problem for a third order dispersive equation on the two-dimensional torus
偏微分方程分析
2007-05-23 v2 经典分析与常微分方程
摘要
We present the necessary and sufficient condition for the -well-posedness of the initial problem for a third order linear dispersive equation on the two dimensional torus. Birkhoff's method of asymptotic solutions is used to prove the necessity. Some properties of a system for quadratic algebraic equations associated to the principal symbol play crucial role in proving the sufficiency.
引用
@article{arxiv.math/0404006,
title = {The initial value problem for a third order dispersive equation on the two-dimensional torus},
author = {Hiroyuki Chihara},
journal= {arXiv preprint arXiv:math/0404006},
year = {2007}
}
备注
7 pages, no figure