Wang, Jian; Yang, Hao; Zhai, Jianliang; Zhang, Tusheng Accessibility of SPDEs driven by pure jump noise and its applications. (English) Zbl 07810111 Proc. Am. Math. Soc. 152, No. 4, 1755-1767 (2024). MSC: 60H15 60G51 37A25 60H17 PDFBibTeX XMLCite \textit{J. Wang} et al., Proc. Am. Math. Soc. 152, No. 4, 1755--1767 (2024; Zbl 07810111) Full Text: DOI arXiv
Wang, Jian; Yang, Hao; Zhai, Jianliang; Zhang, Tusheng Large deviation principles for SDEs under locally weak monotonicity conditions. (English) Zbl 07788886 Bernoulli 30, No. 1, 332-345 (2024). Reviewer: Ivan Podvigin (Novosibirsk) MSC: 60F10 60H10 60J25 60K40 92D25 92D30 PDFBibTeX XMLCite \textit{J. Wang} et al., Bernoulli 30, No. 1, 332--345 (2024; Zbl 07788886) Full Text: DOI arXiv
Brzeźniak, Zdzisław; Zhang, Tusheng Reflection of stochastic evolution equations in infinite dimensional domains. (English) Zbl 07788714 Ann. Inst. Henri Poincaré, Probab. Stat. 59, No. 3, 1549-1571 (2023). Reviewer: Feng-Yu Wang (Tianjin) MSC: 60H15 35R60 35Q30 60J60 PDFBibTeX XMLCite \textit{Z. Brzeźniak} and \textit{T. Zhang}, Ann. Inst. Henri Poincaré, Probab. Stat. 59, No. 3, 1549--1571 (2023; Zbl 07788714) Full Text: DOI arXiv
Liu, Wei; Song, Yulin; Zhai, Jianliang; Zhang, Tusheng Large and moderate deviation principles for McKean-Vlasov SDEs with jumps. (English) Zbl 1523.60056 Potential Anal. 59, No. 3, 1141-1190 (2023). MSC: 60F10 60H10 60H15 37L55 PDFBibTeX XMLCite \textit{W. Liu} et al., Potential Anal. 59, No. 3, 1141--1190 (2023; Zbl 1523.60056) Full Text: DOI arXiv
Dong, Zhao; Zhang, Rangrang; Zhang, Tusheng Ergodicity for stochastic conservation laws with multiplicative noise. (English) Zbl 1516.35575 Commun. Math. Phys. 400, No. 3, 1739-1789 (2023). MSC: 35R60 35L04 35L65 PDFBibTeX XMLCite \textit{Z. Dong} et al., Commun. Math. Phys. 400, No. 3, 1739--1789 (2023; Zbl 1516.35575) Full Text: DOI arXiv
Wei, Rong; Yang, Saisai; Zhang, Tusheng Neumann boundary value problems for elliptic operators with measure-valued coefficients. (English) Zbl 07679796 Proc. Am. Math. Soc. 151, No. 7, 3111-3125 (2023). MSC: 60H30 60J45 35J25 60H15 PDFBibTeX XMLCite \textit{R. Wei} et al., Proc. Am. Math. Soc. 151, No. 7, 3111--3125 (2023; Zbl 07679796) Full Text: DOI
Yang, Saisai; Zhang, Tusheng Strong solutions to reflecting stochastic differential equations with singular drift. (English) Zbl 1502.60098 Stochastic Processes Appl. 156, 126-155 (2023). MSC: 60H10 60J60 PDFBibTeX XMLCite \textit{S. Yang} and \textit{T. Zhang}, Stochastic Processes Appl. 156, 126--155 (2023; Zbl 1502.60098) Full Text: DOI arXiv
Wang, Wei; Zhai, Jianliang; Zhang, Tusheng Stochastic two-dimensional Navier-Stokes equations on time-dependent domains. (English) Zbl 1502.35088 J. Theor. Probab. 35, No. 4, 2916-2939 (2022). MSC: 35Q30 76D05 60H15 35D35 35A01 35A02 60J65 35R60 PDFBibTeX XMLCite \textit{W. Wang} et al., J. Theor. Probab. 35, No. 4, 2916--2939 (2022; Zbl 1502.35088) Full Text: DOI
Wang, Wei; Zhai, Jianliang; Zhang, Tusheng Large deviations for stochastic \(2D\) Navier-Stokes equations on time-dependent domains. (English) Zbl 1500.60016 Commun. Pure Appl. Anal. 21, No. 10, 3479-3498 (2022). MSC: 60F10 53C35 35Q30 35R60 60J65 PDFBibTeX XMLCite \textit{W. Wang} et al., Commun. Pure Appl. Anal. 21, No. 10, 3479--3498 (2022; Zbl 1500.60016) Full Text: DOI
Shang, Shijie; Zhang, Tusheng Stochastic heat equations with logarithmic nonlinearity. (English) Zbl 1527.60050 J. Differ. Equations 313, 85-121 (2022). Reviewer: Isamu Dôku (Saitama) MSC: 60H15 35R60 60J65 35D30 35K05 PDFBibTeX XMLCite \textit{S. Shang} and \textit{T. Zhang}, J. Differ. Equations 313, 85--121 (2022; Zbl 1527.60050) Full Text: DOI arXiv
Wang, Chen; Yang, Saisai; Zhang, Tusheng Reflected Brownian motion with singular drift. (English) Zbl 1480.60173 Bernoulli 27, No. 2, 866-898 (2021). MSC: 60H10 60J60 60H20 60J65 PDFBibTeX XMLCite \textit{C. Wang} et al., Bernoulli 27, No. 2, 866--898 (2021; Zbl 1480.60173) Full Text: DOI
Matoussi, Anis; Sabbagh, Wissal; Zhang, Tusheng Large deviation principles of obstacle problems for quasilinear stochastic PDEs. (English) Zbl 1470.60188 Appl. Math. Optim. 83, No. 2, 849-879 (2021). Reviewer: Dejun Luo (Beijing) MSC: 60H15 60F10 60G65 PDFBibTeX XMLCite \textit{A. Matoussi} et al., Appl. Math. Optim. 83, No. 2, 849--879 (2021; Zbl 1470.60188) Full Text: DOI arXiv
Zhai, Jianliang; Zhang, Tusheng; Zheng, Wuting Large deviations for stochastic models of two-dimensional second grade fluids driven by Lévy noise. (English) Zbl 1457.60101 Infin. Dimens. Anal. Quantum Probab. Relat. Top. 23, No. 4, Article ID 2050026, 34 p. (2020). Reviewer: Yuliya S. Mishura (Kyïv) MSC: 60H15 60F10 35R60 37L55 76M35 PDFBibTeX XMLCite \textit{J. Zhai} et al., Infin. Dimens. Anal. Quantum Probab. Relat. Top. 23, No. 4, Article ID 2050026, 34 p. (2020; Zbl 1457.60101) Full Text: DOI arXiv
Yang, Xue; Zhang, Qi; Zhang, Tusheng Reflected backward stochastic partial differential equations in a convex domain. (English) Zbl 1477.60104 Stochastic Processes Appl. 130, No. 10, 6038-6063 (2020). Reviewer: Jing Cui (Wuhu) MSC: 60H15 60G46 60H10 PDFBibTeX XMLCite \textit{X. Yang} et al., Stochastic Processes Appl. 130, No. 10, 6038--6063 (2020; Zbl 1477.60104) Full Text: DOI
Dong, Zhao; Zhang, Rangrang; Zhang, Tusheng Large deviations for quasilinear parabolic stochastic partial differential equations. (English) Zbl 1451.60064 Potential Anal. 53, No. 1, 183-202 (2020). MSC: 60H15 35K59 35R60 60F10 PDFBibTeX XMLCite \textit{Z. Dong} et al., Potential Anal. 53, No. 1, 183--202 (2020; Zbl 1451.60064) Full Text: DOI arXiv
Dong, Zhao; Wu, Jiang-Lun; Zhang, Rangrang; Zhang, Tusheng Large deviation principles for first-order scalar conservation laws with stochastic forcing. (English) Zbl 1465.60025 Ann. Appl. Probab. 30, No. 1, 324-367 (2020). MSC: 60F10 60H15 PDFBibTeX XMLCite \textit{Z. Dong} et al., Ann. Appl. Probab. 30, No. 1, 324--367 (2020; Zbl 1465.60025) Full Text: DOI arXiv Euclid
Wang, Feng-yu; Zhang, Tu-sheng Talagrand inequality on free path space and application to stochastic reaction diffusion equations. (English) Zbl 1457.60041 Acta Math. Appl. Sin., Engl. Ser. 36, No. 2, 253-261 (2020). MSC: 60E15 60H10 58J65 35R30 PDFBibTeX XMLCite \textit{F.-y. Wang} and \textit{T.-s. Zhang}, Acta Math. Appl. Sin., Engl. Ser. 36, No. 2, 253--261 (2020; Zbl 1457.60041) Full Text: DOI arXiv
Zhang, Tusheng Stochastic Burgers type equations with reflection: existence, uniqueness. (English) Zbl 1415.60081 J. Differ. Equations 267, No. 8, 4537-4571 (2019). MSC: 60H15 60J60 35R60 PDFBibTeX XMLCite \textit{T. Zhang}, J. Differ. Equations 267, No. 8, 4537--4571 (2019; Zbl 1415.60081) Full Text: DOI Link
Dalang, Robert C.; Khoshnevisan, Davar; Zhang, Tusheng Global solutions to stochastic reaction-diffusion equations with super-linear drift and multiplicative noise. (English) Zbl 1418.60072 Ann. Probab. 47, No. 1, 519-559 (2019). MSC: 60H15 35K57 35R60 35B45 35B33 PDFBibTeX XMLCite \textit{R. C. Dalang} et al., Ann. Probab. 47, No. 1, 519--559 (2019; Zbl 1418.60072) Full Text: DOI arXiv Euclid
Shang, Shijie; Zhai, Jianliang; Zhang, Tusheng Strong solutions for a stochastic model of two-dimensional second grade fluids driven by Lévy noise. (English) Zbl 1403.60058 J. Math. Anal. Appl. 471, No. 1-2, 126-146 (2019). MSC: 60H15 35R60 35Q30 76A05 PDFBibTeX XMLCite \textit{S. Shang} et al., J. Math. Anal. Appl. 471, No. 1--2, 126--146 (2019; Zbl 1403.60058) Full Text: DOI
Yang, Saisai; Zhang, Tusheng Backward stochastic differential equations and Dirichlet problems of semilinear elliptic operators with singular coefficients. (English) Zbl 1425.60061 Potential Anal. 49, No. 2, 225-245 (2018). Reviewer: Xuan Loc Nguyen (Hanoi) MSC: 60H15 60H30 35J25 PDFBibTeX XMLCite \textit{S. Yang} and \textit{T. Zhang}, Potential Anal. 49, No. 2, 225--245 (2018; Zbl 1425.60061) Full Text: DOI
Zhai, Jianliang; Zhang, Tusheng; Zheng, Wuting Moderate deviations for stochastic models of two-dimensional second grade fluids. (English) Zbl 1396.60075 Stoch. Dyn. 18, No. 3, Article ID 1850026, 46 p. (2018). MSC: 60H15 60F05 60F10 35R60 37L55 PDFBibTeX XMLCite \textit{J. Zhai} et al., Stoch. Dyn. 18, No. 3, Article ID 1850026, 46 p. (2018; Zbl 1396.60075) Full Text: DOI arXiv
Matoussi, Anis; Sabbagh, Wissal; Zhang, Tusheng Backward doubly SDEs and semilinear stochastic PDEs in a convex domain. (English) Zbl 1372.60085 Stochastic Processes Appl. 127, No. 9, 2781-2815 (2017). MSC: 60H10 60H15 60G46 35R60 PDFBibTeX XMLCite \textit{A. Matoussi} et al., Stochastic Processes Appl. 127, No. 9, 2781--2815 (2017; Zbl 1372.60085) Full Text: DOI arXiv
Zhai, Jianliang; Zhang, Tusheng Large deviations for stochastic models of two-dimensional second grade fluids. (English) Zbl 1370.60049 Appl. Math. Optim. 75, No. 3, 471-498 (2017). MSC: 60F10 60H15 35R60 37L55 76A05 PDFBibTeX XMLCite \textit{J. Zhai} and \textit{T. Zhang}, Appl. Math. Optim. 75, No. 3, 471--498 (2017; Zbl 1370.60049) Full Text: DOI arXiv
Dong, Zhao; Xiong, Jie; Zhai, Jianliang; Zhang, Tusheng A moderate deviation principle for 2-D stochastic Navier-Stokes equations driven by multiplicative Lévy noises. (English) Zbl 1356.60100 J. Funct. Anal. 272, No. 1, 227-254 (2017). Reviewer: Martin Ondreját (Praha) MSC: 60H15 60F10 60G51 60G57 35Q30 PDFBibTeX XMLCite \textit{Z. Dong} et al., J. Funct. Anal. 272, No. 1, 227--254 (2017; Zbl 1356.60100) Full Text: DOI arXiv
Øksendal, Bernt; Sulem, Agnès; Zhang, Tusheng A stochastic HJB equation for optimal control of forward-backward SDEs. (English) Zbl 1354.60061 Podolskij, Mark (ed.) et al., The fascination of probability, statistics and their applications. In honour of Ole E. Barndorff-Nielsen. Cham: Springer (ISBN 978-3-319-25824-9/hbk; 978-3-319-25826-3/ebook). 435-446 (2016). MSC: 60H10 49K45 49L25 91G10 93E20 PDFBibTeX XMLCite \textit{B. Øksendal} et al., in: The fascination of probability, statistics and their applications. In honour of Ole E. Barndorff-Nielsen. Cham: Springer. 435--446 (2016; Zbl 1354.60061) Full Text: DOI arXiv
Di Nunno, Giulia; Zhang, Tusheng Approximations of stochastic partial differential equations. (English) Zbl 1345.60053 Ann. Appl. Probab. 26, No. 3, 1443-1466 (2016). MSC: 60H15 60F05 60J65 35R60 PDFBibTeX XMLCite \textit{G. Di Nunno} and \textit{T. Zhang}, Ann. Appl. Probab. 26, No. 3, 1443--1466 (2016; Zbl 1345.60053) Full Text: DOI arXiv Euclid
Winter, Matthias; Xu, Lihu; Zhai, Jianliang; Zhang, Tusheng The dynamics of the stochastic shadow Gierer-Meinhardt system. (English) Zbl 1337.60139 J. Differ. Equations 260, No. 1, 84-114 (2016). MSC: 60H15 60F10 60J65 60H05 60H30 PDFBibTeX XMLCite \textit{M. Winter} et al., J. Differ. Equations 260, No. 1, 84--114 (2016; Zbl 1337.60139) Full Text: DOI arXiv
Yang, Xue; Zhai, Jianliang; Zhang, Tusheng Large deviations for SPDEs of jump type. (English) Zbl 1327.60074 Stoch. Dyn. 15, No. 4, Article ID 1550026, 30 p. (2015). MSC: 60F10 60H15 60J65 60G57 35R60 37L55 PDFBibTeX XMLCite \textit{X. Yang} et al., Stoch. Dyn. 15, No. 4, Article ID 1550026, 30 p. (2015; Zbl 1327.60074) Full Text: DOI arXiv
Zhai, Jianliang; Zhang, Tusheng Large deviations for 2-D stochastic Navier-Stokes equations driven by multiplicative Lévy noises. (English) Zbl 1344.60030 Bernoulli 21, No. 4, 2351-2392 (2015). Reviewer: Nikolai N. Leonenko (Cardiff) MSC: 60F10 60H15 60G51 60F05 60G55 60G57 60J65 60E07 PDFBibTeX XMLCite \textit{J. Zhai} and \textit{T. Zhang}, Bernoulli 21, No. 4, 2351--2392 (2015; Zbl 1344.60030) Full Text: DOI Euclid
Hu, Ying; Matoussi, Anis; Zhang, Tusheng Wong-Zakai approximations of backward doubly stochastic differential equations. (English) Zbl 1325.60089 Stochastic Processes Appl. 125, No. 12, 4375-4404 (2015). MSC: 60H10 60H05 PDFBibTeX XMLCite \textit{Y. Hu} et al., Stochastic Processes Appl. 125, No. 12, 4375--4404 (2015; Zbl 1325.60089) Full Text: DOI arXiv
Yue, Wen; Zhang, Tusheng Absolute continuity of the laws of perturbed diffusion processes and perturbed reflected diffusion processes. (English) Zbl 1325.60131 J. Theor. Probab. 28, No. 2, 587-618 (2015). MSC: 60J60 60H07 PDFBibTeX XMLCite \textit{W. Yue} and \textit{T. Zhang}, J. Theor. Probab. 28, No. 2, 587--618 (2015; Zbl 1325.60131) Full Text: DOI arXiv
Wang, Ran; Zhai, Jianliang; Zhang, Tusheng A moderate deviation principle for 2-D stochastic Navier-Stokes equations. (English) Zbl 1310.60100 J. Differ. Equations 258, No. 10, 3363-3390 (2015). MSC: 60H15 60F05 60F99 60F10 PDFBibTeX XMLCite \textit{R. Wang} et al., J. Differ. Equations 258, No. 10, 3363--3390 (2015; Zbl 1310.60100) Full Text: DOI
Wang, Ran; Zhang, Tusheng Moderate deviations for stochastic reaction-diffusion equations with multiplicative noise. (English) Zbl 1306.60095 Potential Anal. 42, No. 1, 99-113 (2015). MSC: 60H15 60F05 60F10 PDFBibTeX XMLCite \textit{R. Wang} and \textit{T. Zhang}, Potential Anal. 42, No. 1, 99--113 (2015; Zbl 1306.60095) Full Text: DOI
Yue, Wen; Zhang, Tusheng Elliptic stochastic partial differential equations with two reflecting walls. (English) Zbl 1307.60095 Infin. Dimens. Anal. Quantum Probab. Relat. Top. 17, No. 4, Article ID 1450025, 16 p. (2014). MSC: 60H15 60F10 60F05 60G57 PDFBibTeX XMLCite \textit{W. Yue} and \textit{T. Zhang}, Infin. Dimens. Anal. Quantum Probab. Relat. Top. 17, No. 4, Article ID 1450025, 16 p. (2014; Zbl 1307.60095) Full Text: DOI arXiv
Yang, Juan; Zhang, Tusheng Existence and uniqueness of invariant measures for SPDEs with two reflecting walls. (English) Zbl 1308.60081 J. Theor. Probab. 27, No. 3, 863-877 (2014). MSC: 60H15 60J35 PDFBibTeX XMLCite \textit{J. Yang} and \textit{T. Zhang}, J. Theor. Probab. 27, No. 3, 863--877 (2014; Zbl 1308.60081) Full Text: DOI arXiv
Liu, Kai; Zhang, Tusheng A large deviation principle of retarded Ornstein-Uhlenbeck processes driven by Lévy noise. (English) Zbl 1308.60029 Stochastic Anal. Appl. 32, No. 5, 889-910 (2014). MSC: 60F10 60G51 60H15 60G15 60H05 PDFBibTeX XMLCite \textit{K. Liu} and \textit{T. Zhang}, Stochastic Anal. Appl. 32, No. 5, 889--910 (2014; Zbl 1308.60029) Full Text: DOI
Zhang, Tusheng Strong convergence of Wong-Zakai approximations of reflected SDEs in a multidimensional general domain. (English) Zbl 1311.60066 Potential Anal. 41, No. 3, 783-815 (2014). Reviewer: Martin Ondreját (Praha) MSC: 60H10 60J55 60J60 PDFBibTeX XMLCite \textit{T. Zhang}, Potential Anal. 41, No. 3, 783--815 (2014; Zbl 1311.60066) Full Text: DOI arXiv
Yang, Xue; Zhang, Tusheng Mixed boundary value problems of semilinear elliptic PDEs and BSDEs with singular coefficients. (English) Zbl 1333.60152 Stochastic Processes Appl. 124, No. 7, 2442-2478 (2014). MSC: 60H30 60H10 35J61 60J60 PDFBibTeX XMLCite \textit{X. Yang} and \textit{T. Zhang}, Stochastic Processes Appl. 124, No. 7, 2442--2478 (2014; Zbl 1333.60152) Full Text: DOI arXiv
Wang, Feng-Yu; Zhang, Tusheng Log-Harnack inequality for mild solutions of SPDEs with multiplicative noise. (English) Zbl 1285.60065 Stochastic Processes Appl. 124, No. 3, 1261-1274 (2014). MSC: 60H15 PDFBibTeX XMLCite \textit{F.-Y. Wang} and \textit{T. Zhang}, Stochastic Processes Appl. 124, No. 3, 1261--1274 (2014; Zbl 1285.60065) Full Text: DOI arXiv
Dalang, Robert C.; Zhang, Tusheng Hölder continuity of solutions of SPDEs with reflection. (English) Zbl 1277.60107 Commun. Math. Stat. 1, No. 2, 133-142 (2013). MSC: 60H15 60F10 60F05 PDFBibTeX XMLCite \textit{R. C. Dalang} and \textit{T. Zhang}, Commun. Math. Stat. 1, No. 2, 133--142 (2013; Zbl 1277.60107) Full Text: DOI
Zhang, Tusheng Large deviations for invariant measures of SPDEs with two reflecting walls. (English) Zbl 1248.60077 Stochastic Processes Appl. 122, No. 10, 3425-3444 (2012). MSC: 60H15 60F10 60J35 PDFBibTeX XMLCite \textit{T. Zhang}, Stochastic Processes Appl. 122, No. 10, 3425--3444 (2012; Zbl 1248.60077) Full Text: DOI arXiv
Mohammed, Salah; Zhang, Tusheng The Burgers equation with affine linear noise: dynamics and stability. (English) Zbl 1248.60072 Stochastic Processes Appl. 122, No. 4, 1887-1916 (2012). MSC: 60H15 60F10 35Q30 PDFBibTeX XMLCite \textit{S. Mohammed} and \textit{T. Zhang}, Stochastic Processes Appl. 122, No. 4, 1887--1916 (2012; Zbl 1248.60072) Full Text: DOI
Röckner, Michael; Zhang, Tusheng Stochastic 3D tamed Navier-Stokes equations: existence, uniqueness and small time large deviation principles. (English) Zbl 1241.60032 J. Differ. Equations 252, No. 1, 716-744 (2012). Reviewer: Carles Rovira (Barcelona) MSC: 60H15 60F10 35R60 PDFBibTeX XMLCite \textit{M. Röckner} and \textit{T. Zhang}, J. Differ. Equations 252, No. 1, 716--744 (2012; Zbl 1241.60032) Full Text: DOI
Zhang, Tusheng; Yang, Juan White noise driven SPDEss with two reflecting walls. (English) Zbl 1235.60081 Infin. Dimens. Anal. Quantum Probab. Relat. Top. 14, No. 4, 647-659 (2011). MSC: 60H15 60H20 35K05 PDFBibTeX XMLCite \textit{T. Zhang} and \textit{J. Yang}, Infin. Dimens. Anal. Quantum Probab. Relat. Top. 14, No. 4, 647--659 (2011; Zbl 1235.60081) Full Text: DOI
Chen, Zhen-Qing; Zhang, Tusheng Stochastic evolution equations driven by Lévy processes. (English) Zbl 1237.60049 Osaka J. Math. 48, No. 2, 311-327 (2011). Reviewer: Constantin Vârsan (Bucureşti) MSC: 60H15 93E20 PDFBibTeX XMLCite \textit{Z.-Q. Chen} and \textit{T. Zhang}, Osaka J. Math. 48, No. 2, 311--327 (2011; Zbl 1237.60049) Full Text: Euclid
Zhang, Tusheng; Ran, Qikang Backward SDEs and Sobolev solutions for semilinear parabolic PDEs with singular coefficients. (English) Zbl 1227.60089 Infin. Dimens. Anal. Quantum Probab. Relat. Top. 14, No. 3, 517-536 (2011). MSC: 60H30 35K58 35R60 PDFBibTeX XMLCite \textit{T. Zhang} and \textit{Q. Ran}, Infin. Dimens. Anal. Quantum Probab. Relat. Top. 14, No. 3, 517--536 (2011; Zbl 1227.60089) Full Text: DOI
Zhang, Tusheng A probabilistic approach to Dirichlet problems of semilinear elliptic PDEs with singular coefficients. (English) Zbl 1242.60072 Ann. Probab. 39, No. 4, 1502-1527 (2011). Reviewer: Xuan Loc Nguyen (Hanoi) MSC: 60H30 35J25 31C25 PDFBibTeX XMLCite \textit{T. Zhang}, Ann. Probab. 39, No. 4, 1502--1527 (2011; Zbl 1242.60072) Full Text: DOI arXiv
Øksendal, Bernt; Sulem, Agnès; Zhang, Tusheng Optimal control of stochastic delay equations and time-advanced backward stochastic differential equations. (English) Zbl 1217.93183 Adv. Appl. Probab. 43, No. 2, 572-596 (2011). MSC: 93E20 60J75 60H10 60H15 60H20 49J55 35R60 PDFBibTeX XMLCite \textit{B. Øksendal} et al., Adv. Appl. Probab. 43, No. 2, 572--596 (2011; Zbl 1217.93183) Full Text: DOI Euclid
Zhang, Tusheng Systems of stochastic partial differential equations with reflection: existence and uniqueness. (English) Zbl 1218.60059 Stochastic Processes Appl. 121, No. 6, 1356-1372 (2011). MSC: 60H15 60J60 35R60 PDFBibTeX XMLCite \textit{T. Zhang}, Stochastic Processes Appl. 121, No. 6, 1356--1372 (2011; Zbl 1218.60059) Full Text: DOI
Ran, Qikang; Zhang, Tusheng Existence and uniqueness of bounded weak solutions of a semilinear parabolic PDE. (English) Zbl 1205.60116 J. Theor. Probab. 23, No. 4, 951-971 (2010). MSC: 60H10 60H30 93E20 35R60 PDFBibTeX XMLCite \textit{Q. Ran} and \textit{T. Zhang}, J. Theor. Probab. 23, No. 4, 951--971 (2010; Zbl 1205.60116) Full Text: DOI
Zhang, Tusheng White noise driven SPDEs with reflection: Strong Feller properties and Harnack inequalities. (English) Zbl 1196.60121 Potential Anal. 33, No. 2, 137-151 (2010). MSC: 60H15 60J60 31C25 PDFBibTeX XMLCite \textit{T. Zhang}, Potential Anal. 33, No. 2, 137--151 (2010; Zbl 1196.60121) Full Text: DOI
Mohammed, Salah; Zhang, Tusheng Dynamics of stochastic 2D Navier-Stokes equations. (English) Zbl 1213.60107 J. Funct. Anal. 258, No. 10, 3543-3591 (2010). Reviewer: A. Réveillac (Berlin) MSC: 60H15 76D05 37L55 PDFBibTeX XMLCite \textit{S. Mohammed} and \textit{T. Zhang}, J. Funct. Anal. 258, No. 10, 3543--3591 (2010; Zbl 1213.60107) Full Text: DOI
Röckner, Michael; Zhang, Tusheng; Zhang, Xicheng Large deviations for stochastic tamed 3D Navier-Stokes equations. (English) Zbl 1195.60093 Appl. Math. Optim. 61, No. 2, 267-285 (2010). Reviewer: Michael Stauch (Berlin) MSC: 60H15 35Q30 60F10 PDFBibTeX XMLCite \textit{M. Röckner} et al., Appl. Math. Optim. 61, No. 2, 267--285 (2010; Zbl 1195.60093) Full Text: DOI
Xu, Tiange; Zhang, Tusheng On the small time asymptotics of the two-dimensional stochastic Navier-Stokes equations. (English) Zbl 1196.60119 Ann. Inst. Henri Poincaré, Probab. Stat. 45, No. 4, 1002-1019 (2009). Reviewer: Martin Ondreját (Praha) MSC: 60H15 60F10 35Q30 PDFBibTeX XMLCite \textit{T. Xu} and \textit{T. Zhang}, Ann. Inst. Henri Poincaré, Probab. Stat. 45, No. 4, 1002--1019 (2009; Zbl 1196.60119) Full Text: DOI EuDML
Xu, Tiange; Zhang, Tusheng White noise driven SPDEs with reflection: existence, uniqueness and large deviation principles. (English) Zbl 1175.60068 Stochastic Processes Appl. 119, No. 10, 3453-3470 (2009). MSC: 60H15 60F10 60F05 PDFBibTeX XMLCite \textit{T. Xu} and \textit{T. Zhang}, Stochastic Processes Appl. 119, No. 10, 3453--3470 (2009; Zbl 1175.60068) Full Text: DOI
Mohammed, Salah; Zhang, Tusheng Anticipating stochastic differential systems with memory. (English) Zbl 1196.60103 Stochastic Processes Appl. 119, No. 9, 2773-2802 (2009). MSC: 60H07 60H10 60H20 60H25 PDFBibTeX XMLCite \textit{S. Mohammed} and \textit{T. Zhang}, Stochastic Processes Appl. 119, No. 9, 2773--2802 (2009; Zbl 1196.60103) Full Text: DOI
Xu, Tiange; Zhang, Tusheng Large deviation principles for 2-D stochastic Navier-Stokes equations driven by Lévy processes. (English) Zbl 1210.60071 J. Funct. Anal. 257, No. 5, 1519-1545 (2009). MSC: 60H15 60F10 PDFBibTeX XMLCite \textit{T. Xu} and \textit{T. Zhang}, J. Funct. Anal. 257, No. 5, 1519--1545 (2009; Zbl 1210.60071) Full Text: DOI
Dong, Zhao; Xu, Tiange; Zhang, Tusheng Invariant measures for stochastic evolution equations of pure jump type. (English) Zbl 1157.60062 Stochastic Processes Appl. 119, No. 2, 410-427 (2009). MSC: 60H15 60J35 60J75 PDFBibTeX XMLCite \textit{Z. Dong} et al., Stochastic Processes Appl. 119, No. 2, 410--427 (2009; Zbl 1157.60062) Full Text: DOI
Øksendal, Bernt; Zhang, Tusheng The Itô-Ventzell formula and forward stochastic differential equations driven by Poisson random measures. (English) Zbl 1118.60052 Osaka J. Math. 44, No. 1, 207-230 (2007). MSC: 60H10 60G51 60G57 60H07 PDFBibTeX XMLCite \textit{B. Øksendal} and \textit{T. Zhang}, Osaka J. Math. 44, No. 1, 207--230 (2007; Zbl 1118.60052) Full Text: Euclid
Zhang, Tusheng Large deviations for stochastic nonlinear beam equations. (English) Zbl 1118.60021 J. Funct. Anal. 248, No. 1, 175-201 (2007). MSC: 60F10 60H15 PDFBibTeX XMLCite \textit{T. Zhang}, J. Funct. Anal. 248, No. 1, 175--201 (2007; Zbl 1118.60021) Full Text: DOI
Röckner, Michael; Zhang, Tusheng Stochastic evolution equations of jump type: Existence, uniqueness and large deviation principles. (English) Zbl 1119.60057 Potential Anal. 26, No. 3, 255-279 (2007). Reviewer: Tomasz Bojdecki (Warszawa) MSC: 60H15 35R60 60F10 PDFBibTeX XMLCite \textit{M. Röckner} and \textit{T. Zhang}, Potential Anal. 26, No. 3, 255--279 (2007; Zbl 1119.60057) Full Text: DOI
Xiang, Kai-Nan; Zhang, Tu-Sheng Small time asymptotics for Fleming-Viot processes. (English) Zbl 1080.60504 Infin. Dimens. Anal. Quantum Probab. Relat. Top. 8, No. 4, 605-630 (2005). MSC: 60F10 60G57 60J60 PDFBibTeX XMLCite \textit{K.-N. Xiang} and \textit{T.-S. Zhang}, Infin. Dimens. Anal. Quantum Probab. Relat. Top. 8, No. 4, 605--630 (2005; Zbl 1080.60504) Full Text: DOI
Øksendal, Bernt; Proske, Frank; Zhang, Tusheng Backward stochastic partial differential equations with jumps and application to optimal control of random jump fields. (English) Zbl 1090.60057 Stochastics 77, No. 5, 381-399 (2005). MSC: 60H15 93E20 35R60 PDFBibTeX XMLCite \textit{B. Øksendal} et al., Stochastics 77, No. 5, 381--399 (2005; Zbl 1090.60057) Full Text: DOI Link
Fang, Shizan; Zhang, Tusheng A study of a class of stochastic differential equations with non-Lipschitzian coefficients. (English) Zbl 1081.60043 Probab. Theory Relat. Fields 132, No. 3, 356-390 (2005). Reviewer: George Stoica (Saint John) MSC: 60H10 60J60 34A12 34A40 PDFBibTeX XMLCite \textit{S. Fang} and \textit{T. Zhang}, Probab. Theory Relat. Fields 132, No. 3, 356--390 (2005; Zbl 1081.60043) Full Text: DOI
Röckner, Michael; Zhang, Tusheng S. Sample path large deviations for diffusion processes on configuration spaces over a Riemannian manifold. (English) Zbl 1054.60045 Publ. Res. Inst. Math. Sci. 40, No. 2, 385-427 (2004). Reviewer: Sophia L. Kalpazidou (Thessaloniki) MSC: 60G17 60J60 60F10 58J65 PDFBibTeX XMLCite \textit{M. Röckner} and \textit{T. S. Zhang}, Publ. Res. Inst. Math. Sci. 40, No. 2, 385--427 (2004; Zbl 1054.60045) Full Text: DOI
Zhang, T. S. On the small time asymptotics of diffusion processes on Hilbert spaces. (English) Zbl 1044.60071 Ann. Probab. 28, No. 2, 537-557 (2000). MSC: 60J60 46N30 31C25 60H15 60F10 PDFBibTeX XMLCite \textit{T. S. Zhang}, Ann. Probab. 28, No. 2, 537--557 (2000; Zbl 1044.60071) Full Text: DOI