Uniqueness of conservative solutions for the Hunter–Saxton equation
Peer reviewed, Journal article
Published version
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Date
2022Metadata
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- Institutt for matematiske fag [2359]
- Publikasjoner fra CRIStin - NTNU [37304]
Original version
10.1007/s40687-022-00314-6Abstract
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.