[{"type":"journal_article","publisher":"World Scientific","intvolume":" 12","quality_controlled":"1","issue":"2","publication_status":"published","language":[{"iso":"eng"}],"title":"A Note on variational solutions to SPDE perturbed by Gaussian noise in a general class","publication_identifier":{"issn":["0219-0257"]},"department":[{"_id":"10020"}],"article_type":"original","year":"2009","page":"353-358","volume":12,"_id":"1591586","isi":1,"user_id":"89573","citation":{"apa_indent":"Röckner, M., & Wang, Y. (2009). A Note on variational solutions to SPDE perturbed by Gaussian noise in a general class. *Infinite Dimensional Analysis, Quantum Probability and Related Topics*, *12*(2), 353-358. doi:10.1142/S0219025709003690

","bio1":"Röckner M, Wang Y (2009)

A Note on variational solutions to SPDE perturbed by Gaussian noise in a general class.

Infinite Dimensional Analysis, Quantum Probability and Related Topics 12(2): 353-358.","ieee":" M. Röckner and Y. Wang, “A Note on variational solutions to SPDE perturbed by Gaussian noise in a general class”, *Infinite Dimensional Analysis, Quantum Probability and Related Topics*, vol. 12, 2009, pp. 353-358.","dgps":"Röckner, M. & Wang, Y. (2009). A Note on variational solutions to SPDE perturbed by Gaussian noise in a general class. *Infinite Dimensional Analysis, Quantum Probability and Related Topics*, *12*(2), 353-358. World Scientific. doi:10.1142/S0219025709003690.

","wels":"Röckner, M.; Wang, Y. (2009): A Note on variational solutions to SPDE perturbed by Gaussian noise in a general class *Infinite Dimensional Analysis, Quantum Probability and Related Topics*,12:(2): 353-358.","apa":"Röckner, M., & Wang, Y. (2009). A Note on variational solutions to SPDE perturbed by Gaussian noise in a general class. *Infinite Dimensional Analysis, Quantum Probability and Related Topics*, *12*(2), 353-358. doi:10.1142/S0219025709003690","default":"Röckner M, Wang Y (2009)

*Infinite Dimensional Analysis, Quantum Probability and Related Topics* 12(2): 353-358.","ama":"Röckner M, Wang Y. A Note on variational solutions to SPDE perturbed by Gaussian noise in a general class. *Infinite Dimensional Analysis, Quantum Probability and Related Topics*. 2009;12(2):353-358.","mla":"Röckner, Michael, and Wang, Yi. “A Note on variational solutions to SPDE perturbed by Gaussian noise in a general class”. *Infinite Dimensional Analysis, Quantum Probability and Related Topics* 12.2 (2009): 353-358.","lncs":" Röckner, M., Wang, Y.: A Note on variational solutions to SPDE perturbed by Gaussian noise in a general class. Infinite Dimensional Analysis, Quantum Probability and Related Topics. 12, 353-358 (2009).","angewandte-chemie":"M. Röckner, and Y. Wang, “A Note on variational solutions to SPDE perturbed by Gaussian noise in a general class”, *Infinite Dimensional Analysis, Quantum Probability and Related Topics*, **2009**, *12*, 353-358.","chicago":"Röckner, Michael, and Wang, Yi. 2009. “A Note on variational solutions to SPDE perturbed by Gaussian noise in a general class”. *Infinite Dimensional Analysis, Quantum Probability and Related Topics* 12 (2): 353-358.

","frontiers":"Röckner, M., and Wang, Y. (2009). A Note on variational solutions to SPDE perturbed by Gaussian noise in a general class. *Infinite Dimensional Analysis, Quantum Probability and Related Topics* 12, 353-358.","harvard1":"Röckner, M., & Wang, Y., 2009. A Note on variational solutions to SPDE perturbed by Gaussian noise in a general class. *Infinite Dimensional Analysis, Quantum Probability and Related Topics*, 12(2), p 353-358."},"external_id":{"isi":["000268123100011"]},"publication":"Infinite Dimensional Analysis, Quantum Probability and Related Topics","status":"public","date_updated":"2019-07-19T13:08:48Z","abstract":[{"lang":"eng","text":"This note deals with existence and uniqueness of (variational) solutions to the following type of stochastic partial differential equations on a Hilbert space H dX(t) = A(t, X(t))dt + B(t, X(t))dW(t) + h(t)dG(t), where A and B are random nonlinear operators satisfying monotonicity conditions and G is an infinite dimensional Gaussian process adapted to the same filtration as the cylindrical Wiener process W(t), t >= 0."}],"author":[{"last_name":"Röckner","first_name":"Michael","id":"10585","full_name":"Röckner, Michael"},{"last_name":"Wang","first_name":"Yi","full_name":"Wang, Yi"}],"date_created":"2010-04-26T09:45:54Z","doi":"10.1142/S0219025709003690","keyword":["fractional Brownian motion","stochastic porous media","Stochastic partial differential equations","equations","general Gaussian noise"]}]