关于高阶非线性色散方程的 Cauchy 问题
偏微分方程分析
2007-08-29 v1
作者:
Didier Pilod
摘要
我们研究了一类高阶 KdV 方程。我们证明了对于小初值，相关的初值问题在加权 Besov 空间和 Sobolev 空间中是适定的。我们还证明了在 Hs(R) 空间中（对于任意实数 s）的不适定性结果。
引用
@article{arxiv.0708.3676,
title = {On the Cauchy problem for higher-order nonlinear dispersive equations},
author = {Didier Pilod},
journal= {arXiv preprint arXiv:0708.3676},
year = {2007}
}
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27 pages
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