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

2020/03/19 by Puri, Rajan
#Analysis of PDEs (math.AP) #FOS: Mathematics #Primary: 35Q35

paper · doi:10.48550/arxiv.2003.09250

Abstract

For the cubic ab-family of equations with a≠0, 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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