Asymptotic Stability and Energy Decay Rates for Solutions of Hyperbolic Equations with Boundary Damping.
Abstract
This report deals with the asymptotic behavior of solutions of the wave equation in a domain omega a sebset or equal to (R sup n). The boundary Gamma, of omega consists of two parts. One part reflects all energy while the other part absorbs energy to a degree. If the energy absorbing part is non-empty the authors show that the energy tends to zero as t nears infinity. With stronger assumptions one is able to obtain decay rates for the energy. Certain relationships with controllability are discussed and used to advantage.
Document Details
- Document Type
- Technical Report
- Publication Date
- Nov 01, 1975
- Accession Number
- ADA020205
Entities
People
- David L. Russell
- John P. Quinn
Organizations
- University of Wisconsin–Madison