[1] Aassila M, Guesmia A. Energy decay for a damped nonlinear hyperbolic equation. Appl Math Lett, 1999, 12: 49–52
[2] Ball J. Remarks on blow up and nonexistence theorems for nonlinear evolutions equations. Quart J Math Oxford, 1977, 28(2): 473–486
[3] Benaissa A, Messaoudi S A. Exponential decay of solutions of a nonlinearly damped wave equation. Non-linear Diff Equ Appl, 2005, 12: 391–399
[4] Gazzola F, Squassina M. Global solutions and finite time blowup for damped semilinear wave equations. Ann Inst H Poincar´e Anal Non Lin´eaire, 2006, 23: 185–207
[5] Gerbi S, Said-Houari B. Exponential decay for solutions to semilinear damped wave equation. Discrete and Continuous Dynamical Systems-Series S, 2012, 5(3): 559–566
[6] Georgiev V, Todorova G. Existence of solutions of the wave equation with nonlinear damping and source term. J Diff Equ, 1994, 109: 295–308
[7] Haraux A, Zuazua E. Decay estimates for some semilinear damped hyperbolic problems. Arch Rational Mesh Anal, 1988, 150: 191–206
[8] Ikehata R. Some remark on the wave equations with nonlinear damping and source term. Nonlinear Analysis, 1996, 27: 1165–1175
[9] Ikehata R, Suzuki T. Stable and unstable sets for evolution equations of parabolic and hyperbolic type. Hiroshima Math J, 1996, 26: 475–491
[10] Komornik V. Exact Controllability and Stabilization. The Multiplier Method. Pairs: Mason-John Wiley, 1994
[11] Kopackova M. Remarks on boundary solutions of a semilinear dissipative hypothbolic equation. Comment Math Univ Carolin, 1989, 30(4): 713–719
[12] Levine H A. Instability and nonexistence of global solutions of nonlinear wave equation of the form Putt =Au + F(u). Trans Amer Math Soc, 1974, 192: 1–21 |