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Exponential stability for the wave equations with local Kelvin–Voigt damping

✍ Scribed by Kangsheng Liu; Bopeng Rao


Publisher
Springer
Year
2006
Tongue
English
Weight
228 KB
Volume
57
Category
Article
ISSN
0044-2275

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📜 SIMILAR VOLUMES


Exponential stability for wave equations
✍ Jaime E. Muñoz Rivera; Reinhard Racke 📂 Article 📅 2008 🏛 Elsevier Science 🌐 English ⚖ 365 KB

We consider the nonlinear wave equation u ttσ (u x ) x + a(x)u t = 0 in a bounded interval (0, L) ⊂ R 1 . The function a is allowed to change sign, but has to satisfy a = 1 L L 0 a(x)dx > 0. For this non-dissipative situation we prove the exponential stability of the corresponding linearized system