Keywords: Asymptotic behavior Decay rate Local existence Global existence Blow-up Life span Nonlinear damping Nonlinear wave equations Non local condition Approximate solution Galerkin's Method.
Subject:
nonlinear partial differential equations
Main publications:
Zaraï Abderrahmane, Tatar Nasser-eddine, Abdelmalek Salem, “Elastic membrane equation with memory term and nonlinear boundary damping: global existence, decay and blowup of the solution.”, Acta Math. Sci. Ser. B Engl., 2013, 84–106
Zaraï Abderrahmane, Tatar Nasser-Eddine, “Global existence and polynomial decay for a problem with Balakrishnan-Taylor damping”, Arch. Math., 46:3 (2010), 157–176
Tatar Nasser-eddine, Zaraï Abderrahmane, “On a Kirchhoff equation with Balakrishnan-Taylor damping and source term”, Dyn. Contin. Discrete Impuls. Syst. Ser. A Math. Anal., 18:5 (2011), 615–627
Tatar Nasser-eddine, Zaraï Abderrahmane, “Exponential stability and blow up for a problem with Balakrishnan-Taylor damping”, Demonstratio Math., 44:1 (2011), 67–90