Blar i Institutt for matematiske fag på tidsskrift "Research in the Mathematical Sciences"
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Uniqueness of conservative solutions for the Hunter–Saxton equation
(Peer reviewed; Journal article, 2022)We show that the Hunter–Saxton equation ut+uux=14(∫x−∞dμ(t,z)−∫∞xdμ(t,z)) and μt+(uμ)x=0 has a unique, global, weak, and conservative solution (u,μ) of the Cauchy problem on the line.