Blow-up of solutions for a nonlinear Petrovsky type equation with initial data at arbitrary high energy level
Author:
Funder
National Natural Science Foundation of China
Publisher
Springer Science and Business Media LLC
Subject
Algebra and Number Theory,Analysis
Link
http://link.springer.com/content/pdf/10.1186/s13661-019-1136-x.pdf
Reference39 articles.
1. Han, X., Wang, M.: Asymptotic behavior for Petrovsky equation with localized damping. Acta Appl. Math. 110(3), 1057–1076 (2010). https://doi.org/10.1007/s10440-009-9493-6
2. Li, G., Sun, Y., Liu, W.: Global existence, uniform decay and blow-up of solutions for a system of Petrovsky equations. Nonlinear Anal. 74(4), 1523–1538 (2011). https://doi.org/10.1016/j.na.2010.10.025
3. Li, G., Sun, Y., Liu, W.: Global existence and blow-up of solutions for a strongly damped Petrovsky system with nonlinear damping. Appl. Anal. 91(3), 575–586 (2012). https://doi.org/10.1080/00036811.2010.550576
4. Wang, Y., Wang, Y.: On the initial-boundary problem for fourth order wave equations with damping, strain and source terms. J. Math. Anal. Appl. 405(1), 116–127 (2013). https://doi.org/10.1016/j.jmaa.2013.03.060
5. Zhou, J.: Lower bounds for blow-up time of two nonlinear wave equations. Appl. Math. Lett. 45, 64–68 (2015). https://doi.org/10.1016/j.aml.2015.01.010
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