Exponential decay rates for the solutions of Euler-Bernoulli equations with boundary dissipation occurring in the moments only
We shall derive uniform decay rates for the total energy of the solutions to the Euler-Bernoulli equations wherein energy dissipation occurs on the boundary. The main feature which distinguishes this paper from other related works is the fact that the boundary feedback is acting through the moments only. The key technical element responsible for the proof of the main result is a new regularity estimate for the solutions to the nonhomogeneous Schrodinger equation. © 1992.
Journal of Differential Equations
Lasiecka, I. (1992). Exponential decay rates for the solutions of Euler-Bernoulli equations with boundary dissipation occurring in the moments only. Journal of Differential Equations, 95 (1), 169-182. https://doi.org/10.1016/0022-0396(92)90048-R