Global solutions and finite time blow up for damped semilinear wave equations
Filippo Gazzola, Marco Squassina (2006)
Annales de l'I.H.P. Analyse non linéaire
Similarity:
Filippo Gazzola, Marco Squassina (2006)
Annales de l'I.H.P. Analyse non linéaire
Similarity:
Yang Zhifeng (2008)
Open Mathematics
Similarity:
The initial boundary value problem for a viscoelastic equation with nonlinear damping in a bounded domain is considered. By modifying the method, which is put forward by Li, Tasi and Vitillaro, we sententiously proved that, under certain conditions, any solution blows up in finite time. The estimates of the life-span of solutions are also given. We generalize some earlier results concerning this equation.
Eloulaimi, R., Guedda, M. (2001)
Portugaliae Mathematica. Nova Série
Similarity:
Tahamtani, Faramarz (2009)
Boundary Value Problems [electronic only]
Similarity:
Wu, Shun-Tang, Tsai, Long-Yi (2006)
Applied Mathematics E-Notes [electronic only]
Similarity:
Benaissa, Abbes, Messaoudi, Salim A. (2002)
Journal of Applied Mathematics
Similarity:
Qingyong Gao, Fushan Li, Yanguo Wang (2011)
Open Mathematics
Similarity:
In this paper, we consider the nonlinear Kirchhoff-type equation with initial conditions and homogeneous boundary conditions. Under suitable conditions on the initial datum, we prove that the solution blows up in finite time.
Messaoudi, Salim A., Said-Houari, Belkacem (2004)
Journal of Applied Mathematics
Similarity:
Ye, Yaojun (2007)
Differential Equations & Nonlinear Mechanics
Similarity:
Souplet, Philippe (1995)
Portugaliae Mathematica
Similarity:
Ye, Yaojun (2010)
Journal of Inequalities and Applications [electronic only]
Similarity: