Gevrey class regularity for the attractor of the laser equations
نویسنده
چکیده
Constantin, Foais and Gibbon proved that the laser equations (Lorenz PDE) define a dynamical system in L2 with a C∞ attractor. We extend this theorem to show that the attractor is contained in every Gevrey class, G , for 1 < s < ∞. This demonstrates a remarkable smoothing mechanism for this hyperbolic system. We consider the consequences of this theorem for finitedimensionality of the dynamics. AMS classification scheme numbers: 35B40, 35F20, 35Q20, 58F12,78A60
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تاریخ انتشار 1999