Stabilization of Euler-Bernoulli plate equation with variable coefficients by nonlinear boundary feedback (Q819996)

The stabilization problem of an Euler-Bernoulli plate equation with variable coefficients and nonlinear boundary feedback is considered. A Riemannian geometry method is used to produce a geometric multiplier in place of the classical ones so that by using Bochner technique in Riemannian geometry, some geometric multiplier identities (inequalities) are obtained, from which the stabilization results for the Euler-Bernoulli plate with variable coefficients are derived.