Exponential stability of classical solutions to a class of semilinear wave equations with boundary dissipation
โ Scribed by Shi Yuming
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 78 KB
- Volume
- 36
- Category
- Article
- ISSN
- 0362-546X
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๐ SIMILAR VOLUMES
In this paper, we investigate the long-time behaviour of the solutions of a class of semilinear parabolic equations in an infinite cylinder. Such equations arise in various fields, such as biology or flame propagation theory. We prove that the solutions whose initial data, together with being increa
## Abstract We study a semilinear hyperbolic system with relaxation and investigate the asymptotic stability of travelling wave solutions with shock profile. It is shown that the travelling wave solution is asymptotically stable, provided the initial disturbance is suitably small. Moreover, we show