[1] Albeverio J, Wu J, Zhang T. Parabolic SPDEs driven by Poisson white noise. Stoch Proc Appl, 1998, 74:21-36 [2] Adams R. Sobolev Spaces. New York:Academic Press, 1992 [3] Bo L, Shi K, Wang Y. On a stochastic wave equation driven by a Non-Gaussian Lévy process. J Theor Probab, 2009, 23(1):328-343 [4] Bo L, Tang D, Wang Y. Explosive solutions of stochastic wave equations with damping on Rd. J Differential Equations, 2008, 244:170-187 [5] Chow P. Stochastic wave equation with polynimial nonlinearity. Ann Appl Probab, 2002, 12:361-381 [6] Chow P. Asymptotics of solutions to semilinear stochastic wave equation. Ann Appl Probab, 2006, 16:757-789 [7] Da Prato G, Zabczyk J. Ergodicity for Infinite Dimensional Systems. Cambridge:Cambridge University Press, 1996 [8] Dung Nguyen Tien. Asymptotic behavior of linear advanced differential equations. Acta Mathematica Scientia, 2015, 35B(3):610-618 [9] Georgiev E, Sattinger D. Existence of a solution of the wave equation with nonlinear damping and source terms. J Differential Equations, 1994, 109:295-308 [10] Glassey R. On the asymptotic behavior of nonlinear wave equation. Trans Amer Math Soc, 1973, 182:187-200 [11] Ikeda N, Watanabe S. Stochastic Differential Equations and Diffusion Processes. New York:North-Holland, 1989 [12] Jiang Y, Wang X, Wang Y. Stochastic wave equation of pure jumps:Existence, uniqueness and invariant measure. Nonlinear Anal.-Theory, 2012, 75:5123-5138 [13] Keller J. On solutions of nonlinear wave equations. Comm Pure Appl Math, 1957, 10:523-530 [14] Xing Li, Yan Yong. Large time behavior of solutions to 1-dimensional bipolar quantum hydrodynamic model for semiconductors. Acta Mathematica Scientia, 2017, 37B(3):806-835 [15] Millet A, Sanz-Solé M. A stochastic wave equation in two space dimensions:Smoothness of law. Ann Probab, 1999, 27:803-844 [16] Mueller C. Long time existence for the wave equation with a noise term. Ann Probab, 1997, 25:133-151 [17] Peszat S. The Cauchy problem for a nonlinear stochastic wave equation in any dimension. J Evol Equ, 2002, 2:383-394 [18] Protter P, Talay D. The Euler scheme for Lévy driven stochastic differential equations. Ann Probab, 1997, 25:393-423 [19] Robinson J. Infinite-Dimensional Dynamical Systems. Cambridge:Cambridge University Press, 2001 [20] Sato K. Lévy Processes and Infinitely Divisible Distributions. Cambridge:Cambridge University Press, 2001 [21] Temam R. Infinite-Dimensional Dynamical Systems in Mechanics and Physics. Second Ed. New York:Springer-Verlag, 1997 [22] Carmona R, Kesten H, Walsh J. Ecole d'été de Probabilités de Saint Flour XIV//Walsh J. An Introduction to Stochastic Partial Differential Equations. Berlin:Springer, 1986:265-439 [23] Wang G, Wang S, Wang X. The Exponential Stabilities on the Solutions of Two Stochastic Burgers Equations with Jump Noises. Tianjin:Nankai University, 2014 [24] Wang S, Wang X, Wang Y. The Asymptotics of the Solutions for Stochastic Wave Equations with Jumps. Tianjin:Nankai University, 2014 [25] Zeidler E. Nonlinear Functional Analysis and Its Applications, Ⅱ/B, Nonlinear Monotone Operators. New York:Springer-Verlag, 1990 |