Annotation
In this paper it is proved that in the case of a continuous and absolutely integrable kernel of Whitham's equation, an initially piecewise-smooth (sharpened) perturbation remains piecewise smooth during the whole time of existence of a solution to Cauchy's problem.
© 2016 Publisher M.V.Lomonosov Moscow State University
Authors
N.O. Tomilina
Department of Mathematics, Faculty of Physics, Moscow State University, Leninskie Gory, Moscow, 119992, Russia
Department of Mathematics, Faculty of Physics, Moscow State University, Leninskie Gory, Moscow, 119992, Russia
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