Gevrey regularity for a class of water-wave models

نویسندگان

  • Zoran Grujić
  • Henrik Kalisch
چکیده

MSC: 35Q53 35A07 Keywords: Local well posedness Dispersive smoothing Real-analytic solutions Higher-order water-wave models a b s t r a c t Local well posedness for a class of higher-order nonlinear dispersive partial differential equations is obtained in spaces of functions analytic on a strip around the real axis. The proof relies on estimates in space–time norms adapted to the linear part of the equation. The class of equations in view contains a number of equations arising in the modeling of waves in fluids and also in other applications.

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تاریخ انتشار 2009