论文信息 - Asymptotic stability and energy decay rates for solutions of hyperbolic equations with boundary damping

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.

David L. Russell | D. Russell | J. P. Quinn | John P. Quinn

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