{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,14]],"date-time":"2026-04-14T16:57:08Z","timestamp":1776185828931,"version":"3.50.1"},"reference-count":23,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[2010,2,1]],"date-time":"2010-02-01T00:00:00Z","timestamp":1264982400000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["J Syst Sci Complex"],"published-print":{"date-parts":[[2010,2]]},"DOI":"10.1007\/s11424-010-9269-0","type":"journal-article","created":{"date-parts":[[2010,2,24]],"date-time":"2010-02-24T02:42:45Z","timestamp":1266979365000},"page":"137-152","source":"Crossref","is-referenced-by-count":16,"title":["Ergodicity of linear SPDE driven by L\u00e9vy noise"],"prefix":"10.1007","volume":"23","author":[{"given":"Zhao","family":"Dong","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Yingchao","family":"Xie","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2010,2,25]]},"reference":[{"issue":"127","key":"9269_CR1","doi-asserted-by":"crossref","first-page":"87","DOI":"10.1023\/A:1021723421437","volume":"52","author":"D. Barbu","year":"2002","unstructured":"D. Barbu and B. Gheorghe, Approximations to mild solutions of stochastic semilinear equations with non-Lipschitz coefficients, Czechoslovak Math. J., 2002, 52(127): 87\u201395.","journal-title":"Czechoslovak Math. J."},{"key":"9269_CR2","doi-asserted-by":"crossref","unstructured":"G. Da Prato and J. Zabczyk, Stochastic Equations in Infinite Dimensions, Cambridge University Press, 1992.","DOI":"10.1017\/CBO9780511666223"},{"key":"9269_CR3","doi-asserted-by":"crossref","unstructured":"G. Da Prato and J. Zabczyk, Ergodicity for Infinite Dimensional Systems, Cambridge University Press, 1996.","DOI":"10.1017\/CBO9780511662829"},{"key":"9269_CR4","doi-asserted-by":"crossref","first-page":"355","DOI":"10.1007\/s004400100188","volume":"123","author":"G. D. Prato","year":"2002","unstructured":"G. Da Prato, A. Debussche, and G. Beniamin, Some properties of invariant measures of non symmetric disspative stochstic systems, Probab. Theory Related Fields, 2002, 123: 355\u2013380.","journal-title":"Probab. Theory Related Fields"},{"issue":"4","key":"9269_CR5","doi-asserted-by":"crossref","first-page":"613","DOI":"10.1142\/S0219493709002798","volume":"9","author":"Y. Liu","year":"2009","unstructured":"Y. Liu and H. Z. Zhao, Reprensentation of pathwise staionary solutions of stochastic Burgers\u2019 equations, Stochastics and Dynamics, 2009, 9(4): 613\u2013634.","journal-title":"Stochastics and Dynamics"},{"key":"9269_CR6","doi-asserted-by":"crossref","first-page":"37","DOI":"10.1007\/s11118-005-9006-9","volume":"25","author":"R. Mikulevicius","year":"2006","unstructured":"R. Mikulevicius, H. Pragarauskas, On Cauchy-Dirichlet problem for parabolic quasilinear SPDEs, Potential Analysis, 2006, 25: 37\u201375.","journal-title":"Potential Analysis"},{"key":"9269_CR7","doi-asserted-by":"crossref","first-page":"129","DOI":"10.1007\/s10440-007-9130-1","volume":"97","author":"R. Mikulevicius","year":"2007","unstructured":"R. Mikulevicius, H. Pragarauskas, and N. Sonnadara, On the Cauchy-Dirichlet problem in the half space for parabolic SPDEs in weighted Hoelder spaces, Acta Appl. Math., 2007, 97: 129\u2013149.","journal-title":"Acta Appl. Math."},{"key":"9269_CR8","unstructured":"S. E. A. Mohammed, T. S. Zhang, and H. Z. Zhao, The stable manifold theorem for semilinear stochastic evolution equations and stochastic partial differenial equations, Memoirs of the American Mathematical Society, 2006."},{"issue":"1","key":"9269_CR9","first-page":"1","volume":"25","author":"Y. Xie","year":"2007","unstructured":"Y. Xie, Existence and uniqueness of solutions of SPDE with non-Lipschitz and non-time-homogeneous coefficients, J. Xuzhou Norm. Univ. Nat. Sci. Ed., 2007, 25(1): 1\u20135.","journal-title":"J. Xuzhou Norm. Univ. Nat. Sci. Ed."},{"issue":"1","key":"9269_CR10","doi-asserted-by":"crossref","first-page":"21","DOI":"10.1016\/S0304-4149(97)00112-9","volume":"74","author":"S. Albeverio","year":"1998","unstructured":"S. Albeverio, J. L. Wu, and T. S. Zhang, Parabolic SPDEs driven by Poisson white noise, Stochastic Process. Appl., 1998, 74(1): 21\u201336.","journal-title":"Stochastic Process. Appl."},{"issue":"3","key":"9269_CR11","first-page":"245","volume":"8","author":"D. Applebauam","year":"2000","unstructured":"D. Applebauam and J. L. Wu, Stochastic partial differential equations driven by L\u00e9vy space-time white noise, Random Oper. Stochastic Equations, 2000, 8(3): 245\u2013259.","journal-title":"Random Oper. Stochastic Equations"},{"issue":"2","key":"9269_CR12","doi-asserted-by":"crossref","first-page":"322","DOI":"10.1007\/s10959-008-0143-0","volume":"21","author":"Z. Dong","year":"2008","unstructured":"Z. Dong, The uniqueness of invariant measure of the Burgers equation driven by L\u00e9vy processes, Journal of Theoretical Probability, 2008, 21(2): 322\u2013335.","journal-title":"Journal of Theoretical Probability"},{"issue":"7","key":"9269_CR13","first-page":"1","volume":"52","author":"Z. Dong","year":"2009","unstructured":"Z. Dong and Y. Xie, Global solutions of stochastic 2D Navier-Stokes equations with L\u00e9vy Noise, Science in China Series A: Mathematics, 2009, 52(7): 1\u201329.","journal-title":"Science in China Series A: Mathematics"},{"key":"9269_CR14","doi-asserted-by":"crossref","first-page":"631","DOI":"10.1016\/j.jfa.2006.09.010","volume":"243","author":"Z. Dong","year":"2007","unstructured":"Z. Dong and T.G. Xu, One-dimensional stochastic burgers equation driven by L\u00e9vy processes, Journal Functional Analysis, 2007, 243: 631\u2013678.","journal-title":"Journal Functional Analysis"},{"key":"9269_CR15","doi-asserted-by":"crossref","first-page":"161","DOI":"10.1007\/s00440-006-0501-8","volume":"137","author":"E. Hausenblas","year":"2007","unstructured":"E. Hausenblas, SPDEs driven by Poisson random measure with non Lipschitz coefficients: existence results, Probab. Theory Related Fields, 2007, 137: 161\u2013200.","journal-title":"Probab. Theory Related Fields"},{"issue":"2","key":"9269_CR16","doi-asserted-by":"crossref","first-page":"287","DOI":"10.1007\/s004400050169","volume":"111","author":"Erwan Saint Loubert Bi\u00e9","year":"1998","unstructured":"Erwan Saint Loubert Bi\u00e9, \u00c9tude d\u2019une EDPS conduite par un bruit poissonnien, Probability Theory and Related Fields, 1998, 111(2): 287\u2013321.","journal-title":"Probability Theory and Related Fields"},{"key":"9269_CR17","doi-asserted-by":"crossref","first-page":"612","DOI":"10.1016\/j.jfa.2006.01.012","volume":"238","author":"A. Truman","year":"2006","unstructured":"A. Truman and J. L. Wu, On a stochastic nonlinear eqnation arising from 1D integro-differential scalar conservation laws, Journal of Functional Analysis, 2006, 238: 612\u2013635.","journal-title":"Journal of Functional Analysis"},{"key":"9269_CR18","doi-asserted-by":"crossref","unstructured":"A. Truman and J. L. Wu, Stochastic Burgers equation with L\u00e9vy space-time white noise, Probabilistic Methods in Fluids, proceedings of the Swansea 2002 workshop.","DOI":"10.1142\/9789812703989_0020"},{"key":"9269_CR19","doi-asserted-by":"crossref","unstructured":"Sandra Cerrai, Second Order PDE\u2019s in Finite and Infinite Demension, springer-Verlag Berlin Heidelberg, 2001.","DOI":"10.1007\/b80743"},{"key":"9269_CR20","doi-asserted-by":"crossref","unstructured":"J. Robinson, Infinite-Dimensional Dynamical Systems, Cambridge University Press, 2001.","DOI":"10.1007\/978-94-010-0732-0"},{"key":"9269_CR21","doi-asserted-by":"crossref","first-page":"119","DOI":"10.1007\/BF02104513","volume":"171","author":"F. Flandoli","year":"1995","unstructured":"F. Flandoli and B. Maslowski, Ergodicity of the 2-D Navier-Stokes equation under random perturbations, Commun. Math. Phys., 1995, 171: 119\u2013141.","journal-title":"Commun. Math. Phys."},{"key":"9269_CR22","doi-asserted-by":"crossref","first-page":"271","DOI":"10.1080\/17442509708834110","volume":"60","author":"B. Ferrario","year":"1997","unstructured":"B. Ferrario, Ergodic results for stochastic Navier-Stokes equation, Stochastics and Stochastics Reports, 1997, 60: 271\u2013288.","journal-title":"Stochastics and Stochastics Reports"},{"key":"9269_CR23","doi-asserted-by":"crossref","unstructured":"G. Da Prato, Kolmogorov Equations for Stochastic PDEs, Birkh\u00e4user Verlag, 2004.","DOI":"10.1007\/978-3-0348-7909-5"}],"container-title":["Journal of Systems Science and Complexity"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11424-010-9269-0.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s11424-010-9269-0\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11424-010-9269-0","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,6,1]],"date-time":"2019-06-01T10:54:00Z","timestamp":1559386440000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s11424-010-9269-0"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2010,2]]},"references-count":23,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2010,2]]}},"alternative-id":["9269"],"URL":"https:\/\/doi.org\/10.1007\/s11424-010-9269-0","relation":{},"ISSN":["1009-6124","1559-7067"],"issn-type":[{"value":"1009-6124","type":"print"},{"value":"1559-7067","type":"electronic"}],"subject":[],"published":{"date-parts":[[2010,2]]}}}