Non-uniqueness for the ab family of equations in periodic case

Rajan Puri

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arXiv · 2003.09250

Non-uniqueness for the ab family of equations in periodic case

Rajan Puri

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Abstract

For the cubic ab-family of equations with $a\neq0$, it is proved that there exists an initial data in the Sobolev space $H^s$, $s<3/2$, with non-unique solutions on the circle.

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Rajan Puri. 2020-03-19. Non-uniqueness for the ab family of equations in periodic case. https://arxiv.org/abs/2003.09250

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