Time decay estimates for a perturbed wave equation
Michael Beals, Walter Strauss (1991)
Journées équations aux dérivées partielles
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Michael Beals, Walter Strauss (1991)
Journées équations aux dérivées partielles
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Axel Grünrock, Mahendra Panthee, Jorge Drumond Silva (2009)
Annales de l'I.H.P. Analyse non linéaire
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Tomáš Bárta (2014)
Commentationes Mathematicae Universitatis Carolinae
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In this paper we consider a model of a one-dimensional body where strain depends on the history of stress. We show local existence for large data and global existence for small data of classical solutions and convergence of the displacement, strain and stress to zero for time going to infinity.
S. Mazouzi, Nasser-eddine Tatar (2003)
Archivum Mathematicum
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We prove exponential decay for the solution of an abstract integrodifferential equation. This equation involves coefficients of polynomial type, weakly singular kernels as well as different powers of the unknown in some norms.