Global existence and blow-up of solutions for a Kirchhoff type plate equation with damping

Jun Zhou

Applied Mathematics and Computation, 2015, vol. 265, issue C, 807-818

Abstract: The initial boundary value problem for a Kirchhoff type plate equation in a bounded domain is considered. We show the blow-up of solutions and the lifespan estimates for three different ranges of initial energy. Global existence of solutions is proved by the potential well theory, and decay estimates of the energy function are established by using Nakao’s inequality.

Keywords: Kirchhoff type plate equation; Blow-up; Lifespan; Global existence; Decay (search for similar items in EconPapers)
Date: 2015
References: View complete reference list from CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0096300315007298
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:265:y:2015:i:c:p:807-818

DOI: 10.1016/j.amc.2015.05.098

Access Statistics for this article

Applied Mathematics and Computation is currently edited by Theodore Simos

More articles in Applied Mathematics and Computation from Elsevier
Bibliographic data for series maintained by Catherine Liu ().