Asymptotic behavior of solutions to wave equations with a memory condition at the boundary.
de Lima Santos, Mauro (2001)
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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Tohru Ozawa, Kimitoshi Tsutaya, Yoshio Tsutsumi (2000)
Banach Center Publications
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V. Georgiev, K. Ianakiev (1992)
Banach Center Publications
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Jeffrey Rauch (2001)
Journées équations aux dérivées partielles
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This talk gives a brief review of some recent progress in the asymptotic analysis of short pulse solutions of nonlinear hyperbolic partial differential equations. This includes descriptions on the scales of geometric optics and diffractive geometric optics, and also studies of special situations where pulses passing through focal points can be analysed.
Abderrahmane Zaraï, Nasser-eddine Tatar (2010)
Archivum Mathematicum
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A viscoelastic Kirchhoff equation with Balakrishnan-Taylor damping is considered. Using integral inequalities and multiplier techniques we establish polynomial decay estimates for the energy of the problem. The results obtained in this paper extend previous results by Tatar and Zaraï [25].
Hu, Qingying, Zhang, Hongwei (2007)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Komech, Alexander I., Komech, Andrew A. (2008)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Fonseca, Germán E. (2000)
Revista Colombiana de Matemáticas
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Cardiel, Rosa E., Kaikina, Elena I. (2006)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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