期刊论文

Jiang, Mina

英文

PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS

0308-2105

2013

143

6

1243-1253

10.1017/S030821051000106X

Natural Science Foundation of ChinaNational Natural Science Foundation of China (NSFC) [10901068, 11001095, 10926123]; Central China Normal University [CCNU09A01004, CCNU10A01022]; Ministry of Education of ChinaMinistry of Education, China [20100144110001]

本校为第一且通讯机构

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 C 0-norm of the derivative of the initial data is sufficiently small, while the C 0-norm of the initial data is not necessarily small. The proof is based on several key a priori estimates, the maximum principle and the characte...