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A singular perturbation problem for nonlinear damped hyperbolic equations
Published online by Cambridge University Press: 14 November 2011
Synopsis
We consider damped nonlinear hyperbolic equations utt + Aut + αAu + βA2u + G(u) = 0, where A is a positive operator and G is the Gateaux derivative of a convex functional. We examine the asymptotic behaviour of solutions and the convergence of strong solutions to these equations when the parameter β tends to zero.
- Type
- Research Article
- Information
- Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 111 , Issue 1-2 , 1989 , pp. 21 - 31
- Copyright
- Copyright © Royal Society of Edinburgh 1989
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