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On stability of the Hill equation with damping

✍ Scribed by C. Cattani; E. A. Grebenikov; A. N. Prokopenya


Publisher
Springer US
Year
2004
Tongue
English
Weight
129 KB
Volume
7
Category
Article
ISSN
1536-0059

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πŸ“œ SIMILAR VOLUMES


Stability Results for the Wave Equation
✍ Pedro Freitas; Enrique Zuazua πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 403 KB

The one-dimensional wave equation with damping of indefinite sign in a bounded interval with Dirichlet boundary conditions is considered. It is proved that solutions decay uniformly exponentially to zero provided the damping potential is in the BV-class, has positive average, is small enough and sat