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arXiv · 2103.10227

Lipschitz Stability for the Hunter-Saxton Equation

Katrin Grunert·Matthew Tandy
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Abstract

We study the Lipschitz stability in time for $α$-dissipative solutions to the Hunter-Saxton equation, where $α\in [0,1]$ is a constant. We define metrics in both Lagrangian and Eulerian coordinates, and establish Lipschitz stability for those metrics.

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Katrin Grunert, Matthew Tandy. 2022-10-19. Lipschitz Stability for the Hunter-Saxton Equation. https://doi.org/10.1142/s0219891622500072

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