Uniform boundary stabilization of a thermoelastic bar with a nonlinear weak damping
We use a new approach to prove the strong asymptotic stability for n-dimensional thermoelasticity systems. Unlike the earlier works, our method can be applied in the case of feedbacks with no growth assumption at the origin, and when LaSalle's invariance principle cannot be applied due to the lack of compactness.
In this note we prove the exponential decay of solutions of a quasilinear wave equation with linear damping and source terms.
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