Lipschitz metric for the Hunter-Saxton equation

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dc.creatorBressan, Alberto
dc.creatorHolden, Helge
dc.creatorRaynaud, Xavier
dc.date2009-04-23
dc.date.accessioned2026-07-07T13:07:52Z
dc.date.available2026-07-07T13:07:52Z
dc.descriptionWe study stability of solutions of the Cauchy problem for the Hunter-Saxton equation $u_t+uu_x=\frac14(\int_{-\infty}^xu_x^2 dx-\int_{x}^\infty u_x^2 dx)$ with initial data $u_0$. In particular, we derive a new Lipschitz metric $d_\D$ with the property that for two solutions $u$ and $v$ of the equation we have $d_\D(u(t),v(t))\le e^{Ct} d_\D(u_0,v_0)$.
dc.identifierhttps://arxiv.org/abs/0904.3615
dc.identifierhttp://arxiv.org/abs/0904.3615
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/228235
dc.subjectAnalysis of PDEs
dc.subject35Q53; 35B35; 35Q20
dc.titleLipschitz metric for the Hunter-Saxton equation
dc.typetext

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