Global solutions and blow-up for a class of strongly damped wave equations systems

Author:

Ye Yaojun,Li Lanlan

Publisher

Springer Science and Business Media LLC

Reference19 articles.

1. Agre K, Rammaha M A. Systems of nonlinear wave equations with damping and source terms. Differential Integral Equations, 2006, 19: 1235–1270

2. Alves C O, Cavalcanti M M, Domingos V N, Rammaha M, Toundykov D. On existence uniform decay rates and blow up for solutions of systems of nonlinear wave equations with damping and source terms. Discrete Contin Dyn Syst-S, 2009, 2: 583–608

3. Gao H J, Ma T F. Global solutions for a nonlinear wave equation with the Laplacian operator. Electron J Qual Theory Differ Equ, 1999, 11: 11–13

4. Gazzola F, Squassina M. Global solutions and finite time blow up for damped semilinear wave equations. Ann I H Poincaré-AN, 2006, 23: 185–207

5. Gerbi S, Said-Houari B. Local existence and exponential growth for a semilinear damped wave equation with dynamic boundary conditions. Adv Differential Equations, 2008, 13: 1051–1074

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