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arXiv:1701.03354 [math.AP]AbstractReferencesReviewsResources

Norm inflation for equations of KdV type with fractional dispersion

Vera Mikyoung Hur

Published 2017-01-12Version 1

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.

Categories: math.AP
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