Ill-posedness in the critical Sobolev space for the $b$-Novikov equation

Dan-Andrei Geba, A. Alexandrou Himonas, Curtis Holliman

This article proves norm inflation in the critical Sobolev space $H^{3/2}(\mathbb{R})$ for the $b$-Novikov equation, which is a $1$-parameter family of Camassa-Holm-type equations…