On the exponential decay of solutions of the wave equation
โ Scribed by D Thoe
- Publisher
- Elsevier Science
- Year
- 1966
- Tongue
- English
- Weight
- 576 KB
- Volume
- 16
- Category
- Article
- ISSN
- 0022-247X
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๐ SIMILAR VOLUMES
Here we are concerned about the stability of the solution of internally damped wave equation y Y s โฌ y q โฌ y X with small damping constant ) 0, in a bounded domain โ in R n under mixed undamped boundary conditions. A uniform expo-ลฝ . yโค t ลฝ . nential energy decay rate E t F Me E 0 where M G 1 and โค
The paper considers a particular type of closed-loop for the wave equation in one space dimension with damping acting at an arbitrary internal point, for which the uniform stabilization with exponential decay rate is shown. Applications to chains of coupled strings are also discussed.