On decay and blow-up of solutions for a system of viscoelastic equations with weak damping and source terms
Author:
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Discrete Mathematics and Combinatorics,Analysis
Link
http://link.springer.com/content/pdf/10.1186/s13660-019-2155-y.pdf
Reference11 articles.
1. Cavalcanti, M.M., Domingos Cavalcanti, V.N., Ferreira, J.: Existence and uniform decay for nonlinear viscoelastic equation with strong damping. Math. Methods Appl. Sci. 24, 1043–1053 (2001)
2. Chen, H., Liu, G.W.: Global existence, uniform decay and exponential growth for a class of semi-linear wave equation with strong damping. Acta Math. Sci. 33(1), 41–58 (2013)
3. Houdi, B.S., Messaoudi, S.A., Gussmia, A.: General decay of solutions of a nonlinear system of viscoelastic wave equations. Nonlinear Differ. Equ. Appl. 18, 659–684 (2011)
4. Li, Q., He, L.: General decay and blow-up of solutions for a nonlinear viscoelastic wave equation with strong damping. Bound. Value Probl. 2018, 153 (2018). https://doi.org/10.1186/s13661-018-1072-1
5. Liu, W.J.: Uniform decay of solution for a quasilinear system of viscoelastic equations. Nonlinear Anal. TMA 71, 2257–2267 (2009)
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1. General and optimal decay rates for a viscoelastic wave equation with strong damping;AIMS Mathematics;2022
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