On the overdamping phenomenon: A general result and applications
We study the best possible energy decay rates for a class of linear secondorder dissipative evolution equations in a Hilbert space. The models we consider are generated by a positive selfadjoint operator A having a bounded inverse. Our discussion applies to important examples such as the classical wave equation, the dynamical wave equation with Wentzell boundary conditions and many others. © 2012 Brown University.
Quarterly of Applied Mathematics
Goldstein, G., Goldstein, J., & Menzala, G. (2013). On the overdamping phenomenon: A general result and applications. Quarterly of Applied Mathematics, 71 (1), 183-199. https://doi.org/10.1090/S0033-569X-2012-01282-3