This paper develops a unified method to derive decay estimates for general second order integro-differential evolution equations with semilinear source terms. Depending on the properties of convolution kernels at infinity, we show that the energy of a mild solution decays exponentially or polynomially as t -> +infinity. Our approach is based on integral inequalities and multiplier techniques. These decay results can be applied to various partial differential equations. We discuss three examples: a semilinear viscoelastic wave equation, a linear anisotropic elasticity model, and a Petrovsky type system. (C) 2007 Elsevier Inc. All rights reserved.
Alabau-Boussouira, F., Cannarsa, P., & Sforza, D. (2008). Decay estimates for second order evolution equations with memory. JOURNAL OF FUNCTIONAL ANALYSIS, 254(5), 1342-1372.
Tipologia: | Articolo su rivista |
Citazione: | Alabau-Boussouira, F., Cannarsa, P., & Sforza, D. (2008). Decay estimates for second order evolution equations with memory. JOURNAL OF FUNCTIONAL ANALYSIS, 254(5), 1342-1372. |
IF: | Con Impact Factor ISI |
Lingua: | English |
Settore Scientifico Disciplinare: | Settore MAT/05 - Analisi Matematica |
Revisione (peer review): | Sì, ma tipo non specificato |
Tipo: | Articolo |
Rilevanza: | Rilevanza internazionale |
Digital Object Identifier (DOI): | http://dx.doi.org/10.1016/j.jfa.2007.09.012 |
Stato di pubblicazione: | Pubblicato |
Data di pubblicazione: | 2008 |
Titolo: | Decay estimates for second order evolution equations with memory |
Autori: | |
Autori: | Alabau-Boussouira, F; Cannarsa, P; Sforza, D |
Appare nelle tipologie: | 01 - Articolo su rivista |
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