General decay and blow-up of solutions for a nonlinear viscoelastic wave equation with strong damping
Author:
Publisher
Springer Science and Business Media LLC
Subject
Algebra and Number Theory,Analysis
Link
http://link.springer.com/content/pdf/10.1186/s13661-018-1072-1.pdf
Reference21 articles.
1. Berrimi, S., Messaoudi, S.A.: Existence and decay of solutions of a viscoelastic equation with a nonlinear source. Nonlinear Anal. 64, 2314–2331 (2006)
2. Cavalcanti, M.M., Domingos Cavalcanti, V.N., Ferreira, J.: Existence and uniform decay for a nonlinear viscoelastic equation with strong damping. Math. Methods Appl. Sci. 24, 1043–1053 (2001)
3. Cavalcanti, M.M., Domingos Cavalcanti, V.N., Lasiecka, I.: Well-posedness and optimal decay rates for the wave equation with nonlinear boundary damping-source interaction. J. Differ. Equ. 236, 407–459 (2007)
4. Cavalcanti, M.M., Domingos Cavalcanti, V.N., Lasiecka, I., Webler, C.M.: Intrinsic decay rates for the energy of a nonlinear viscoelastic equation modeling the vibrations of thin rods with variable density. Adv. Nonlinear Anal. 6, 121–145 (2017)
5. Chen, H., Liu, G.W.: Global existence, uniform decay and exponential growth for a class of semilinear wave equation with strong damping. Acta Math. Sci. 35B, 41–58 (2013)
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