Nakajima, Shohei Existence of weak solutions to SPDEs with fractional Laplacian and non-Lipschitz coefficients. (English) Zbl 07507362 Stoch. Partial Differ. Equ., Anal. Comput. 10, No. 1, 255-277 (2022). MSC: 60H15 35R60 60G60 60-02 60J80 PDF BibTeX XML Cite \textit{S. Nakajima}, Stoch. Partial Differ. Equ., Anal. Comput. 10, No. 1, 255--277 (2022; Zbl 07507362) Full Text: DOI OpenURL
Yokoyama, Satoshi A stochastically perturbed mean curvature flow by colored noise. (English) Zbl 1456.60164 J. Theor. Probab. 34, No. 1, 214-240 (2021). MSC: 60H15 35K93 74A50 PDF BibTeX XML Cite \textit{S. Yokoyama}, J. Theor. Probab. 34, No. 1, 214--240 (2021; Zbl 1456.60164) Full Text: DOI arXiv OpenURL
Du, Kai; Liu, Jiakun On the Cauchy problem for stochastic parabolic equations in Hölder spaces. (English) Zbl 1404.35493 Trans. Am. Math. Soc. 371, No. 4, 2643-2664 (2019). Reviewer: Aleksandr D. Borisenko (Kyïv) MSC: 35R60 60H15 35K15 PDF BibTeX XML Cite \textit{K. Du} and \textit{J. Liu}, Trans. Am. Math. Soc. 371, No. 4, 2643--2664 (2019; Zbl 1404.35493) Full Text: DOI arXiv OpenURL
Xu, Lu A central limit theorem for stochastic heat equations in random environment. (English) Zbl 1404.60035 J. Theor. Probab. 31, No. 3, 1356-1379 (2018). MSC: 60F05 60H15 60K37 PDF BibTeX XML Cite \textit{L. Xu}, J. Theor. Probab. 31, No. 3, 1356--1379 (2018; Zbl 1404.60035) Full Text: DOI arXiv OpenURL
Xu, Lu An invariance principle for stochastic heat equations with periodic coefficients. (English) Zbl 1390.60096 Stochastic Anal. Appl. 36, No. 2, 295-303 (2018). MSC: 60F05 60H15 35R60 PDF BibTeX XML Cite \textit{L. Xu}, Stochastic Anal. Appl. 36, No. 2, 295--303 (2018; Zbl 1390.60096) Full Text: DOI arXiv OpenURL
Yokoyama, Satoshi Regularity for the solution of a stochastic partial differential equation with the fractional Laplacian. (English) Zbl 1366.76023 Shibata, Yoshihiro (ed.) et al., Mathematical fluid dynamics, present and future. Tokyo, Japan, November 11–14, 2014. Tokyo: Springer (ISBN 978-4-431-56455-3/hbk; 978-4-431-56457-7/ebook). Springer Proceedings in Mathematics & Statistics 183, 597-613 (2016). MSC: 76D06 35Q35 35R60 PDF BibTeX XML Cite \textit{S. Yokoyama}, Springer Proc. Math. Stat. 183, 597--613 (2016; Zbl 1366.76023) Full Text: DOI OpenURL
Funaki, Tadahisa; Quastel, Jeremy KPZ equation, its renormalization and invariant measures. (English) Zbl 1327.60128 Stoch. Partial Differ. Equ., Anal. Comput. 3, No. 2, 159-220 (2015). MSC: 60H15 35R60 82C28 PDF BibTeX XML Cite \textit{T. Funaki} and \textit{J. Quastel}, Stoch. Partial Differ. Equ., Anal. Comput. 3, No. 2, 159--220 (2015; Zbl 1327.60128) Full Text: DOI arXiv Link OpenURL
Chen, Yong; Gao, Hongjun; Sun, Chengfeng The stochastic fractional power dissipative equations in any dimension and applications. (English) Zbl 1380.60068 J. Math. Anal. Appl. 425, No. 2, 1240-1256 (2015). MSC: 60H99 60H15 26A33 35R11 35R60 PDF BibTeX XML Cite \textit{Y. Chen} et al., J. Math. Anal. Appl. 425, No. 2, 1240--1256 (2015; Zbl 1380.60068) Full Text: DOI OpenURL
Albeverio, Sergio; Kawabi, Hiroshi; Röckner, Michael Strong uniqueness for both Dirichlet operators and stochastic dynamics to Gibbs measures on a path space with exponential interactions. (English) Zbl 1256.47027 J. Funct. Anal. 262, No. 2, 602-638 (2012). Reviewer: Vladislav Nikolaevich Dumachev (Voronezh) MSC: 47D07 60H15 81S20 35R15 PDF BibTeX XML Cite \textit{S. Albeverio} et al., J. Funct. Anal. 262, No. 2, 602--638 (2012; Zbl 1256.47027) Full Text: DOI arXiv OpenURL
Niu, Min; Xie, Bin Regularity of a fractional partial differential equation driven by space-time white noise. (English) Zbl 1186.60061 Proc. Am. Math. Soc. 138, No. 4, 1479-1489 (2010). MSC: 60H15 26A33 35R60 PDF BibTeX XML Cite \textit{M. Niu} and \textit{B. Xie}, Proc. Am. Math. Soc. 138, No. 4, 1479--1489 (2010; Zbl 1186.60061) Full Text: DOI OpenURL
Funaki, Tadahisa; Xie, Bin A stochastic heat equation with the distributions of Lévy processes as its invariant measures. (English) Zbl 1157.60063 Stochastic Processes Appl. 119, No. 2, 307-326 (2009). MSC: 60H15 60G51 60G55 35R60 PDF BibTeX XML Cite \textit{T. Funaki} and \textit{B. Xie}, Stochastic Processes Appl. 119, No. 2, 307--326 (2009; Zbl 1157.60063) Full Text: DOI OpenURL
Kawabi, Hiroshi; Röckner, Michael Essential self-adjointness of Dirichlet operators on a path space with Gibbs measures via an SPDE approach. (English) Zbl 1111.47064 J. Funct. Anal. 242, No. 2, 486-518 (2007). Reviewer: Feng-Yu Wang (Beijing) MSC: 47N50 47B25 81S20 60H15 81T08 60J45 81S40 PDF BibTeX XML Cite \textit{H. Kawabi} and \textit{M. Röckner}, J. Funct. Anal. 242, No. 2, 486--518 (2007; Zbl 1111.47064) Full Text: DOI Link OpenURL
Peszat, Szymon; Zabczyk, Jerzy Stochastic evolution equations with a spatially homogeneous Wiener process. (English) Zbl 0943.60048 Stochastic Processes Appl. 72, No. 2, 187-204 (1997). Reviewer: Jan Seidler (Praha) MSC: 60H15 60G60 PDF BibTeX XML Cite \textit{S. Peszat} and \textit{J. Zabczyk}, Stochastic Processes Appl. 72, No. 2, 187--204 (1997; Zbl 0943.60048) Full Text: DOI OpenURL
Kondratiev, Yu. G.; Roelly, S.; Zessin, H. Stochastic dynamics for an infinite system of random closed strings: A Gibbsian point of view. (English) Zbl 0847.60082 Stochastic Processes Appl. 61, No. 2, 223-248 (1996). MSC: 60K35 PDF BibTeX XML Cite \textit{Yu. G. Kondratiev} et al., Stochastic Processes Appl. 61, No. 2, 223--248 (1996; Zbl 0847.60082) Full Text: DOI OpenURL
Fritz, J.; Rüdiger, B. Time dependent critical fluctuations of a one dimensional local mean field model. (English) Zbl 0833.60095 Probab. Theory Relat. Fields 103, No. 3, 381-407 (1995). MSC: 60K35 82B40 PDF BibTeX XML Cite \textit{J. Fritz} and \textit{B. Rüdiger}, Probab. Theory Relat. Fields 103, No. 3, 381--407 (1995; Zbl 0833.60095) Full Text: DOI OpenURL
Funaki, T. The scaling limit for a stochastic PDE and the separation of phases. (English) Zbl 0834.60066 Probab. Theory Relat. Fields 102, No. 2, 221-288 (1995). Reviewer: P.Holicky (Praha) MSC: 60H15 60K35 35R60 82C24 PDF BibTeX XML Cite \textit{T. Funaki}, Probab. Theory Relat. Fields 102, No. 2, 221--288 (1995; Zbl 0834.60066) Full Text: DOI OpenURL
Funaki, Tadahisa The hydrodynamic limit for a system with interactions prescribed by Ginzburg-Landau type random Hamiltonian. (English) Zbl 0729.60105 Probab. Theory Relat. Fields 90, No. 4, 519-561 (1991). Reviewer: T.Funaki (Nagoya) MSC: 60K35 PDF BibTeX XML Cite \textit{T. Funaki}, Probab. Theory Relat. Fields 90, No. 4, 519--561 (1991; Zbl 0729.60105) Full Text: DOI OpenURL