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Analysis and discretization of semilinear stochastic wave equations with cubic nonlinearity and additive spacetime noise
1.  Southern Illinois University, Department of Mathematics, MC 4408, 1245 Lincoln Drive, Carbondale, IL 629017316 
[1] 
Henri Schurz. Stochastic heat equations with cubic nonlinearity and additive spacetime noise in 2D. Conference Publications, 2013, 2013 (special) : 673684. doi: 10.3934/proc.2013.2013.673 
[2] 
Yanzhao Cao, Li Yin. Spectral Galerkin method for stochastic wave equations driven by spacetime white noise. Communications on Pure & Applied Analysis, 2007, 6 (3) : 607617. doi: 10.3934/cpaa.2007.6.607 
[3] 
Henri Schurz. Stochastic wave equations with cubic nonlinearity and Qregular additive noise in $\mathbb{R}^2$. Conference Publications, 2011, 2011 (Special) : 12991308. doi: 10.3934/proc.2011.2011.1299 
[4] 
Ying Hu, Shanjian Tang. Nonlinear backward stochastic evolutionary equations driven by a spacetime white noise. Mathematical Control & Related Fields, 2018, 8 (3&4) : 739751. doi: 10.3934/mcrf.2018032 
[5] 
Boris P. Belinskiy, Peter Caithamer. Energy of an elastic mechanical system driven by Gaussian noise white in time. Conference Publications, 2001, 2001 (Special) : 3949. doi: 10.3934/proc.2001.2001.39 
[6] 
Tianlong Shen, Jianhua Huang, Caibin Zeng. Time fractional and space nonlocal stochastic boussinesq equations driven by gaussian white noise. Discrete & Continuous Dynamical Systems  B, 2018, 23 (4) : 15231533. doi: 10.3934/dcdsb.2018056 
[7] 
Angelo Favini, Georgy A. Sviridyuk, Alyona A. Zamyshlyaeva. One Class of Sobolev Type Equations of Higher Order with Additive "White Noise". Communications on Pure & Applied Analysis, 2016, 15 (1) : 185196. doi: 10.3934/cpaa.2016.15.185 
[8] 
Boling Guo, Guoli Zhou. On the backward uniqueness of the stochastic primitive equations with additive noise. Discrete & Continuous Dynamical Systems  B, 2019, 24 (7) : 31573174. doi: 10.3934/dcdsb.2018305 
[9] 
Georgios T. Kossioris, Georgios E. Zouraris. Finite element approximations for a linear CahnHilliardCook equation driven by the space derivative of a spacetime white noise. Discrete & Continuous Dynamical Systems  B, 2013, 18 (7) : 18451872. doi: 10.3934/dcdsb.2013.18.1845 
[10] 
Luis J. Roman, Marcus Sarkis. Stochastic Galerkin method for elliptic spdes: A white noise approach. Discrete & Continuous Dynamical Systems  B, 2006, 6 (4) : 941955. doi: 10.3934/dcdsb.2006.6.941 
[11] 
Zhaojuan Wang, Shengfan Zhou. Random attractor and random exponential attractor for stochastic nonautonomous damped cubic wave equation with linear multiplicative white noise. Discrete & Continuous Dynamical Systems  A, 2018, 38 (9) : 47674817. doi: 10.3934/dcds.2018210 
[12] 
María J. GarridoAtienza, Bohdan Maslowski, Jana Šnupárková. Semilinear stochastic equations with bilinear fractional noise. Discrete & Continuous Dynamical Systems  B, 2016, 21 (9) : 30753094. doi: 10.3934/dcdsb.2016088 
[13] 
Xiaojun Li, Xiliang Li, Kening Lu. Random attractors for stochastic parabolic equations with additive noise in weighted spaces. Communications on Pure & Applied Analysis, 2018, 17 (3) : 729749. doi: 10.3934/cpaa.2018038 
[14] 
Boris P. Belinskiy, Peter Caithamer. Energy estimate for the wave equation driven by a fractional Gaussian noise. Conference Publications, 2007, 2007 (Special) : 92101. doi: 10.3934/proc.2007.2007.92 
[15] 
Kexue Li, Jigen Peng, Junxiong Jia. Explosive solutions of parabolic stochastic partial differential equations with lévy noise. Discrete & Continuous Dynamical Systems  A, 2017, 37 (10) : 51055125. doi: 10.3934/dcds.2017221 
[16] 
Shengfan Zhou, Min Zhao. Fractal dimension of random attractor for stochastic nonautonomous damped wave equation with linear multiplicative white noise. Discrete & Continuous Dynamical Systems  A, 2016, 36 (5) : 28872914. doi: 10.3934/dcds.2016.36.2887 
[17] 
T. Tachim Medjo. The exponential behavior of the stochastic primitive equations in two dimensional space with multiplicative noise. Discrete & Continuous Dynamical Systems  B, 2010, 14 (1) : 177197. doi: 10.3934/dcdsb.2010.14.177 
[18] 
Nathan GlattHoltz, Mohammed Ziane. The stochastic primitive equations in two space dimensions with multiplicative noise. Discrete & Continuous Dynamical Systems  B, 2008, 10 (4) : 801822. doi: 10.3934/dcdsb.2008.10.801 
[19] 
Bixiang Wang. Random attractors for nonautonomous stochastic wave equations with multiplicative noise. Discrete & Continuous Dynamical Systems  A, 2014, 34 (1) : 269300. doi: 10.3934/dcds.2014.34.269 
[20] 
Yan Wang, Lei Wang, Yanxiang Zhao, Aimin Song, Yanping Ma. A stochastic model for microbial fermentation process under Gaussian white noise environment. Numerical Algebra, Control & Optimization, 2015, 5 (4) : 381392. doi: 10.3934/naco.2015.5.381 
2017 Impact Factor: 0.561
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