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arXiv:2308.04107 [math.AP]AbstractReferencesReviewsResources

Generic regularity of conservative solutions to the Novikov equation

Zhen He, Wei Luo, Zhaoyang Yin

Published 2023-08-08Version 1

In this paper, we concentrate on the Novikov equation. For an open dense set of C 3 initial data, we prove that the solution is piecewise smooth in the t-x plane, while the gradient uux can blow up along finitely many characteristic curves. And we provide a description of the solution in a neighborhood of each singular point.

Categories: math.AP
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