Abstract
We obtain optimal estimates for the solution of an integral inequality related to many stabilization problems. Then it is applied to improve some recent results concerning the energy decay of the wave equation with internal nonlinear feedback. Unlike the earlier works, our method also applies in the case of bounded feedback functions.
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© 1994 Springer Basel AG
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Komornik, V. (1994). Decay Estimates for the Wave Equation with Internal Damping. In: Desch, W., Kappel, F., Kunisch, K. (eds) Control and Estimation of Distributed Parameter Systems: Nonlinear Phenomena. ISNM International Series of Numerical Mathematics, vol 118. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8530-0_14
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DOI: https://doi.org/10.1007/978-3-0348-8530-0_14
Publisher Name: Birkhäuser, Basel
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