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arXiv · 1612.07870

Norm inflation for the generalized Boussinesq and Kawahara equations

Mamoru Okamoto
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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.

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Mamoru Okamoto. 2016-12-23. Norm inflation for the generalized Boussinesq and Kawahara equations. https://doi.org/10.1016/j.na.2017.03.011

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