Title: The Global Smooth Solutions for the Initial Value Problem of the Nonlinear Damped p-System
Abstract:We consider the initial value problem for the nonlinear damped p-system.We prove thatit doesn′t require that the C0-norm of the initial data is small,while it just needs the C0-norm of the first order...We consider the initial value problem for the nonlinear damped p-system.We prove thatit doesn′t require that the C0-norm of the initial data is small,while it just needs the C0-norm of the first order derivative to be sufficiently small.Utilizing some priori estimate,we prove he existences of the global smooth solution for the initial value problem.In order to get a priori estimate of the solutions,by the classical characteristic method,which is used to get the priori C0-norm estimate on the solutions,and by applying the maximum principle,we get uniformly estimates on the derivatives of the solutions with respect to x.Read More
Publication Year: 2008
Publication Date: 2008-01-01
Language: en
Type: article
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