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Taylor expansions of solutions of stochastic partial differential equations
1.  Faculty of Mathematics, Bielefeld University, Universitätsstr. 25, 33501 Bielefeld, Germany 
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Rainer Buckdahn, Ingo Bulla, Jin Ma. Pathwise Taylor expansions for Itô random fields. Mathematical Control & Related Fields, 2011, 1 (4) : 437468. doi: 10.3934/mcrf.2011.1.437 
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Yaozhong Hu, Yanghui Liu, David Nualart. Taylor schemes for rough differential equations and fractional diffusions. Discrete & Continuous Dynamical Systems  B, 2016, 21 (9) : 31153162. doi: 10.3934/dcdsb.2016090 
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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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María J. Garrido–Atienza, Kening Lu, Björn Schmalfuss. Random dynamical systems for stochastic partial differential equations driven by a fractional Brownian motion. Discrete & Continuous Dynamical Systems  B, 2010, 14 (2) : 473493. doi: 10.3934/dcdsb.2010.14.473 
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Shaokuan Chen, Shanjian Tang. Semilinear backward stochastic integral partial differential equations driven by a Brownian motion and a Poisson point process. Mathematical Control & Related Fields, 2015, 5 (3) : 401434. doi: 10.3934/mcrf.2015.5.401 
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Kai Liu. Stationary solutions of neutral stochastic partial differential equations with delays in the highestorder derivatives. Discrete & Continuous Dynamical Systems  B, 2018, 23 (9) : 39153934. doi: 10.3934/dcdsb.2018117 
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Herbert Koch. Partial differential equations with nonEuclidean geometries. Discrete & Continuous Dynamical Systems  S, 2008, 1 (3) : 481504. doi: 10.3934/dcdss.2008.1.481 
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Wilhelm Schlag. Spectral theory and nonlinear partial differential equations: A survey. Discrete & Continuous Dynamical Systems  A, 2006, 15 (3) : 703723. doi: 10.3934/dcds.2006.15.703 
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Eugenia N. Petropoulou, Panayiotis D. Siafarikas. Polynomial solutions of linear partial differential equations. Communications on Pure & Applied Analysis, 2009, 8 (3) : 10531065. doi: 10.3934/cpaa.2009.8.1053 
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Nguyen Thieu Huy, Ngo Quy Dang. Dichotomy and periodic solutions to partial functional differential equations. Discrete & Continuous Dynamical Systems  B, 2017, 22 (8) : 31273144. doi: 10.3934/dcdsb.2017167 
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Barbara AbrahamShrauner. Exact solutions of nonlinear partial differential equations. Discrete & Continuous Dynamical Systems  S, 2018, 11 (4) : 577582. doi: 10.3934/dcdss.2018032 
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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 
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Paul Bracken. Exterior differential systems and prolongations for three important nonlinear partial differential equations. Communications on Pure & Applied Analysis, 2011, 10 (5) : 13451360. doi: 10.3934/cpaa.2011.10.1345 
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Frédéric Mazenc, Christophe Prieur. Strict Lyapunov functions for semilinear parabolic partial differential equations. Mathematical Control & Related Fields, 2011, 1 (2) : 231250. doi: 10.3934/mcrf.2011.1.231 
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Enrique Zuazua. Controllability of partial differential equations and its semidiscrete approximations. Discrete & Continuous Dynamical Systems  A, 2002, 8 (2) : 469513. doi: 10.3934/dcds.2002.8.469 
[20] 
Paul Bracken. Connections of zero curvature and applications to nonlinear partial differential equations. Discrete & Continuous Dynamical Systems  S, 2014, 7 (6) : 11651179. doi: 10.3934/dcdss.2014.7.1165 
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