Asymptotic stability and energy decay rates for solutions of hyperbolic equations with boundary damping
1977 ◽
Vol 77
(1-2)
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pp. 97-127
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SynopsisThis report deals with the asymptotic behaviour of solutions of the wave equation in a domain Ω ⊆Rn. The boundary, Γof Ωft 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 we show that the energy tends to zero as t→∞. With stronger assumptions we are able to obtain decay rates for the energy. Certain relationships with controlability are discussed and used to advantage.
2009 ◽
Vol 61
(2)
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pp. 235-265
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2000 ◽
Vol 38
(5)
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pp. 1581-1602
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2018 ◽
Vol 30
(3)
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pp. 377-415
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2012 ◽
Vol 16
(2)
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pp. 85-91