Norm inflation for the generalized Boussinesq and Kawahara equations
Analysis of PDEs
2018-05-17 v1
Abstract
We consider ill-posedness of the Cauchy problem for the generalized Boussinesq and Kawahara equations. We prove norm inflation with general initial data, an improvement over the ill-posedness results by Geba et al., Nonlinear Anal. 95 (2014), 404-413 for the generalized Boussinesq equations and by Kato, Adv. Differential Equations 16 (2011), no. 3-4, 257-287 for the Kawahara equation.
Cite
@article{arxiv.1612.07870,
title = {Norm inflation for the generalized Boussinesq and Kawahara equations},
author = {Mamoru Okamoto},
journal= {arXiv preprint arXiv:1612.07870},
year = {2018}
}
Comments
19 pages