Hostname: page-component-cd9895bd7-dk4vv Total loading time: 0 Render date: 2024-12-27T06:25:07.425Z Has data issue: false hasContentIssue false
  • English
  • Français

Existence of a global smooth solution to the initial boundary-value problem for the p-system with nonlinear damping

Published online by Cambridge University Press:  03 December 2013

Mina Jiang ,
Dong Li  and
Lizhi Ruan
Mina Jiang
Affiliation:
Laboratory of Nonlinear Analysis, Department of Mathematics, Huazhong Normal University, Wuhan 430079, People's Republic of China ([email protected])
Dong Li
Affiliation:
Laboratory of Nonlinear Analysis, Department of Mathematics, Huazhong Normal University, Wuhan 430079, People's Republic of China ([email protected])
Lizhi Ruan
Affiliation:
Laboratory of Nonlinear Analysis, Department of Mathematics, Huazhong Normal University, Wuhan 430079, People's Republic of China ([email protected])
Get access Rights & Permissions [Opens in a new window]

Abstract

This paper is concerned with the initial boundary-value problem for the p-system with nonlinear damping. We prove the existence of a global smooth solution under the assumption that only the C0-norm of the derivative of the initial data is sufficiently small, while the C0-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.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 143 , Issue 6 , December 2013 , pp. 1243 - 1253
Copyright
Copyright © Royal Society of Edinburgh 2013 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)