Exponential stability of the Kirchhoff plate with thermal or viscoelastic damping
نویسندگان
چکیده
منابع مشابه
Exponential Stability of Wave Equations with Potential and Indefinite Damping
First, we consider the linear wave equation utt−uxx +a(x)ut + b(x)u = 0 on a bounded interval (0, L) ⊂ R. The damping function a is allowed to change its sign. If a := 1 L R L 0 a(x)dx is positive and the spectrum of the operator (∂xx− b) is negative, exponential stability is proved for small ‖a− a‖L2 . Explicit estimates of the decay rate ω are given in terms of a and the biggest eigenvalue of...
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ژورنال
عنوان ژورنال: Quarterly of Applied Mathematics
سال: 1997
ISSN: 0033-569X,1552-4485
DOI: 10.1090/qam/1466148