Stability for a coupled system of wave equations of Kirchhoff type with nonlocal boundary conditions.
Ferreira, Jorge, Pereira, Ducival C., Santos, Mauro L. (2003)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Ferreira, Jorge, Pereira, Ducival C., Santos, Mauro L. (2003)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Berrimi, Said, Messaoudi, Salim A. (2004)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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de Lima Santos, Mauro (2001)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Kafini, Mohammad (2010)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Santos, Mauro L. (2007)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Andrade, Doherty, Fatori, Luci Harue, Muñoz Rivera, Jaime E. (2006)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Aassila, Mohammed, Benaissa, Abbes (2002)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Hu, Qingying, Zhang, Hongwei (2007)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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V. Georgiev, K. Ianakiev (1992)
Banach Center Publications
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Camille Laurent (2011)
Journées Équations aux dérivées partielles
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We study the internal stabilization and control of the critical nonlinear Klein-Gordon equation on 3-D compact manifolds. Under a geometric assumption slightly stronger than the classical geometric control condition, we prove exponential decay for some solutions bounded in the energy space but small in a lower norm. The proof combines profile decomposition and microlocal arguments. This profile decomposition, analogous to the one of Bahouri-Gérard [] on , is performed by taking care...