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
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
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