Norm inflation for equations of KdV type with fractional dispersion
Analysis of PDEs
2017-01-13 v1
Abstract
We demonstrate norm inflation for nonlinear nonlocal equations, which extend the Korteweg-de Vries equation to permit fractional dispersion, in the periodic and non-periodic settings. That is, an initial datum is smooth and arbitrarily small in a Sobolev space, but the solution becomes arbitrarily large in the Sobolev space after an arbitrarily short time.
Keywords
Cite
@article{arxiv.1701.03354,
title = {Norm inflation for equations of KdV type with fractional dispersion},
author = {Vera Mikyoung Hur},
journal= {arXiv preprint arXiv:1701.03354},
year = {2017}
}