Uniform decay rates for the solutions to the Euler-Bernoulli plate equation with boundary feedback acting via bending moments (Q1198728)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Uniform decay rates for the solutions to the Euler-Bernoulli plate equation with boundary feedback acting via bending moments |
scientific article; zbMATH DE number 90527
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Uniform decay rates for the solutions to the Euler-Bernoulli plate equation with boundary feedback acting via bending moments |
scientific article; zbMATH DE number 90527 |
Statements
Uniform decay rates for the solutions to the Euler-Bernoulli plate equation with boundary feedback acting via bending moments (English)
0 references
16 January 1993
0 references
The aim of this paper is to consider a physically valid and meaningful model of the Euler-Bernoulli plate with boundary conditions. The author proves that the appropriately selected boundary feedback uniformly stabilizes the model, i.e., the energy decays to zero when \(t\to+\infty\). The author develops new regularity results for the traces of the solution to special types of plates problems. This regularity together with sharp energy estimates imply that uniform stabilization holds.
0 references
boundary feedback
0 references
uniform stabilization
0 references
regularity
0 references
energy estimates
0 references
