Article contents
On a quasilinear wave equation with nonlinear damping
Published online by Cambridge University Press: 14 November 2011
Synopsis
We prove the global existence and uniqueness of the solution of the initial and boundary value problem for the equation
by using the classical Galerkin method when the forcing term and the initial data are in some sense small. The asymptotic behaviour of the solution as t → ∞ is also considered.
- Type
- Research Article
- Information
- Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 110 , Issue 3-4 , 1988 , pp. 227 - 239
- Copyright
- Copyright © Royal Society of Edinburgh 1988
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