Some remarks on a second order evolution equation.
Asymptotic behavior of solutions to a quasilinear hyperbolic with nonlinear damping.
Decay of solutions of some nonlinear equations.
Existence of global solutions to a quasilinear wave equation with general nonlinear damping.
Uniform boundary stabilization of a thermoelastic bar with a nonlinear weak damping
Strong asymptotic stability for n-dimensional thermoelasticity systems
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.
Uniform stabilization of solutions to a quasilinear wave equation with damping and source terms
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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