Existence and boundary stabilization of the semilinear wave equation (Q884513)
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: Existence and boundary stabilization of the semilinear wave equation |
scientific article; zbMATH DE number 5161927
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Existence and boundary stabilization of the semilinear wave equation |
scientific article; zbMATH DE number 5161927 |
Statements
Existence and boundary stabilization of the semilinear wave equation (English)
0 references
6 June 2007
0 references
The authors show existence and boundary stability of a weak solution for the semilinear problem with a general nonlinear function \(h\). This general nonlinearity brings great difficulities, mainly to obtain von Neumann's conditions. They overcome these problems by proving the existence and uniqueness for a nonhomogeneous boundary value problem and using arguments of a hidden regularity. They also study the exponential energy decay for a given problem making use of the perturbed energy method.
0 references
wave equation
0 references
Dirichlet-Neumann's problem
0 references
continuous nonlinearity
0 references
boundary stability
0 references
0 references
0 references
