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The wellposedness of FBSDEs
Stochastic Galerkin method for elliptic spdes: A white noise approach
1.  Worcester Polytechnic Institute, Department of Mathematical Sciences, 100 Institute Rd, Worcester, MA 016092280, United States, United States 
[1] 
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 
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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 
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Phuong Nguyen, Roger Temam. The stampacchia maximum principle for stochastic partial differential equations forced by lévy noise. Communications on Pure & Applied Analysis, 2020, 19 (4) : 22892331. doi: 10.3934/cpaa.2020100 
[4] 
Arnulf Jentzen. Taylor expansions of solutions of stochastic partial differential equations. Discrete & Continuous Dynamical Systems  B, 2010, 14 (2) : 515557. doi: 10.3934/dcdsb.2010.14.515 
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Yanqing Wang. A semidiscrete Galerkin scheme for backward stochastic parabolic differential equations. Mathematical Control & Related Fields, 2016, 6 (3) : 489515. doi: 10.3934/mcrf.2016013 
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Can Huang, Zhimin Zhang. The spectral collocation method for stochastic differential equations. Discrete & Continuous Dynamical Systems  B, 2013, 18 (3) : 667679. doi: 10.3934/dcdsb.2013.18.667 
[7] 
David Lipshutz. Exit time asymptotics for small noise stochastic delay differential equations. Discrete & Continuous Dynamical Systems  A, 2018, 38 (6) : 30993138. doi: 10.3934/dcds.2018135 
[8] 
Zhen Li, Jicheng Liu. Synchronization for stochastic differential equations with nonlinear multiplicative noise in the mean square sense. Discrete & Continuous Dynamical Systems  B, 2019, 24 (10) : 57095736. doi: 10.3934/dcdsb.2019103 
[9] 
Tomás Caraballo, José Real, T. Taniguchi. The exponential stability of neutral stochastic delay partial differential equations. Discrete & Continuous Dynamical Systems  A, 2007, 18 (2&3) : 295313. doi: 10.3934/dcds.2007.18.295 
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Zhongkai Guo. Invariant foliations for stochastic partial differential equations with dynamic boundary conditions. Discrete & Continuous Dynamical Systems  A, 2015, 35 (11) : 52035219. doi: 10.3934/dcds.2015.35.5203 
[11] 
Mogtaba Mohammed, Mamadou Sango. Homogenization of nonlinear hyperbolic stochastic partial differential equations with nonlinear damping and forcing. Networks & Heterogeneous Media, 2019, 14 (2) : 341369. doi: 10.3934/nhm.2019014 
[12] 
Sergio Albeverio, Sonia Mazzucchi. Infinite dimensional integrals and partial differential equations for stochastic and quantum phenomena. Journal of Geometric Mechanics, 2019, 11 (2) : 123137. doi: 10.3934/jgm.2019006 
[13] 
Minoo Kamrani. Numerical solution of partial differential equations with stochastic Neumann boundary conditions. Discrete & Continuous Dynamical Systems  B, 2019, 24 (10) : 53375354. doi: 10.3934/dcdsb.2019061 
[14] 
Min Yang, Guanggan Chen. Finite dimensional reducing and smooth approximating for a class of stochastic partial differential equations. Discrete & Continuous Dynamical Systems  B, 2020, 25 (4) : 15651581. doi: 10.3934/dcdsb.2019240 
[15] 
Xin Yu, Guojie Zheng, Chao Xu. The $C$regularized semigroup method for partial differential equations with delays. Discrete & Continuous Dynamical Systems  A, 2016, 36 (9) : 51635181. doi: 10.3934/dcds.2016024 
[16] 
Ali Hamidoǧlu. On general form of the Tanh method and its application to nonlinear partial differential equations. Numerical Algebra, Control & Optimization, 2016, 6 (2) : 175181. doi: 10.3934/naco.2016007 
[17] 
Weiyin Fei, Liangjian Hu, Xuerong Mao, Dengfeng Xia. Advances in the truncated euler–maruyama method for stochastic differential delay equations. Communications on Pure & Applied Analysis, 2020, 19 (4) : 21012126. doi: 10.3934/cpaa.2020092 
[18] 
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 
[19] 
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 
[20] 
Ludwig Arnold, Igor Chueshov. Cooperative random and stochastic differential equations. Discrete & Continuous Dynamical Systems  A, 2001, 7 (1) : 133. doi: 10.3934/dcds.2001.7.1 
2018 Impact Factor: 1.008
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