Stabilization of the semilinear wave equation with viscous damping
β Scribed by Irena Lasiecka
- Publisher
- Elsevier Science
- Year
- 1990
- Tongue
- English
- Weight
- 564 KB
- Volume
- 86
- Category
- Article
- ISSN
- 0022-0396
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π SIMILAR VOLUMES
The hyperbolic semilinear initial value problem \(\varepsilon u_{t}+A u_{1}+B u+f(u)=0\), \(u(0)=u_{0,}, u_{t}(0)=u_{1 s}\), with commuting positive selfadjoint operators \(A\) and \(B\) in a Hilbert space \(X\) is considered. The term \(A u\), is a damping term. It is shown that the solutions conve
The one-dimensional wave equation with damping of indefinite sign in a bounded interval with Dirichlet boundary conditions is considered. It is proved that solutions decay uniformly exponentially to zero provided the damping potential is in the BV-class, has positive average, is small enough and sat