Article ID Journal Published Year Pages File Type
843640 Nonlinear Analysis: Theory, Methods & Applications 2009 9 Pages PDF
Abstract

This paper is concerned with the initial boundary value problem for the pp-system with damping. We prove the existence of the global smooth solution under the assumption that only the C0C0-norm of the derivative of the initial data is sufficiently small, while the C0C0-norm of the initial data is not necessarily small. The proof is based on several key a priori estimates, the maximum principle and the characteristic method.

Related Topics
Physical Sciences and Engineering Engineering Engineering (General)
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