Wang, Yibo; Cao, Wanrong Exponential integrator for stochastic strongly damped wave equation based on the Wong-Zakai approximation. (English) Zbl 1526.65048 J. Comput. Appl. Math. 437, Article ID 115459, 26 p. (2024). MSC: 65M60 65M06 65N30 65M70 65N35 65M12 65M15 65C30 60H35 60H15 60H40 35R60 PDFBibTeX XMLCite \textit{Y. Wang} and \textit{W. Cao}, J. Comput. Appl. Math. 437, Article ID 115459, 26 p. (2024; Zbl 1526.65048) Full Text: DOI
Balan, Raluca Stochastic wave equation with Lévy white noise. (English) Zbl 07799658 ALEA, Lat. Am. J. Probab. Math. Stat. 20, No. 1, 463-496 (2023). MSC: 60H15 60H40 60G60 35R60 60G51 PDFBibTeX XMLCite \textit{R. Balan}, ALEA, Lat. Am. J. Probab. Math. Stat. 20, No. 1, 463--496 (2023; Zbl 07799658) Full Text: arXiv Link
Shang, Shijie; Zhang, Tusheng Global well-posedness to stochastic reaction-diffusion equations on the real line \(\mathbb{R}\) with superlinear drifts driven by multiplicative space-time white noise. (English) Zbl 07790293 Electron. J. Probab. 28, Paper No. 166, 29 p. (2023). MSC: 60H15 35R60 35K57 60H40 PDFBibTeX XMLCite \textit{S. Shang} and \textit{T. Zhang}, Electron. J. Probab. 28, Paper No. 166, 29 p. (2023; Zbl 07790293) Full Text: DOI arXiv
Blömker, Dirk; Tölle, Jonas M. Singular limits for stochastic equations. (English) Zbl 1527.35512 Stoch. Dyn. 23, No. 5, Article ID 2350040, 25 p. (2023). MSC: 35R60 35K91 60F05 60H15 60H17 PDFBibTeX XMLCite \textit{D. Blömker} and \textit{J. M. Tölle}, Stoch. Dyn. 23, No. 5, Article ID 2350040, 25 p. (2023; Zbl 1527.35512) Full Text: DOI arXiv
Mijena, Jebessa B.; Nane, Erkan; Negash, Alemayehu G. Level of noises and long time behavior of the solution for space-time fractional SPDE in bounded domains. (English) Zbl 07765951 Discrete Contin. Dyn. Syst., Ser. S 16, No. 10, 2559-2588 (2023). Reviewer: Martin Ondreját (Praha) MSC: 60H15 PDFBibTeX XMLCite \textit{J. B. Mijena} et al., Discrete Contin. Dyn. Syst., Ser. S 16, No. 10, 2559--2588 (2023; Zbl 07765951) Full Text: DOI arXiv
Cannizzaro, Giuseppe; Erhard, Dirk; Toninelli, Fabio The Stationary AKPZ equation: logarithmic superdiffusivity. (English) Zbl 1525.35263 Commun. Pure Appl. Math. 76, No. 11, 3044-3103 (2023). MSC: 35R60 35B40 35K58 PDFBibTeX XMLCite \textit{G. Cannizzaro} et al., Commun. Pure Appl. Math. 76, No. 11, 3044--3103 (2023; Zbl 1525.35263) Full Text: DOI arXiv OA License
Han, Beom-Seok A regularity theory for stochastic generalized Burgers’ equation driven by a multiplicative space-time white noise. (English) Zbl 1522.60056 Stoch. Partial Differ. Equ., Anal. Comput. 11, No. 3, 1123-1163 (2023). MSC: 60H15 35R60 60H40 PDFBibTeX XMLCite \textit{B.-S. Han}, Stoch. Partial Differ. Equ., Anal. Comput. 11, No. 3, 1123--1163 (2023; Zbl 1522.60056) Full Text: DOI arXiv
Deng, Chang-Song; Liu, Wei; Nane, Erkan Finite time blowup in \(L^2\) sense of solutions to SPDEs with Bernstein functions of the Laplacian. (English) Zbl 07727163 Potential Anal. 59, No. 2, 565-588 (2023). MSC: 35B44 35R60 PDFBibTeX XMLCite \textit{C.-S. Deng} et al., Potential Anal. 59, No. 2, 565--588 (2023; Zbl 07727163) Full Text: DOI
Qi, Haokun; Meng, Xinzhu Global dynamics of a stochastic reaction-diffusion predator-prey system with space-time white noise. (English) Zbl 1520.92051 Int. J. Syst. Sci., Princ. Appl. Syst. Integr. 54, No. 10, 2134-2160 (2023). MSC: 92D25 35K57 35R60 PDFBibTeX XMLCite \textit{H. Qi} and \textit{X. Meng}, Int. J. Syst. Sci., Princ. Appl. Syst. Integr. 54, No. 10, 2134--2160 (2023; Zbl 1520.92051) Full Text: DOI
Shen, Hao; Zhu, Rongchan; Zhu, Xiangchan An SPDE approach to perturbation theory of \(\Phi_2^4\): asymptoticity and short distance behavior. (English) Zbl 1519.60060 Ann. Appl. Probab. 33, No. 4, 2600-2642 (2023). Reviewer: Feng-Yu Wang (Tianjin) MSC: 60H15 35R60 60H40 PDFBibTeX XMLCite \textit{H. Shen} et al., Ann. Appl. Probab. 33, No. 4, 2600--2642 (2023; Zbl 1519.60060) Full Text: DOI arXiv Link
Yue, Hongge; Xu, Yong; Jiao, Zhe Averaging principle for semilinear stochastic partial differential equations involving space-time white noise. (English) Zbl 1515.60241 Appl. Math. Lett. 143, Article ID 108686, 7 p. (2023). MSC: 60H15 35R60 60H40 PDFBibTeX XMLCite \textit{H. Yue} et al., Appl. Math. Lett. 143, Article ID 108686, 7 p. (2023; Zbl 1515.60241) Full Text: DOI
Boufoussi, Brahim; Nachit, Yassine Local times for systems of non-linear stochastic heat equations. (English) Zbl 1517.60073 Stoch. Partial Differ. Equ., Anal. Comput. 11, No. 1, 388-425 (2023). MSC: 60H15 60J55 60H07 60H40 PDFBibTeX XMLCite \textit{B. Boufoussi} and \textit{Y. Nachit}, Stoch. Partial Differ. Equ., Anal. Comput. 11, No. 1, 388--425 (2023; Zbl 1517.60073) Full Text: DOI arXiv
Zhu, Rongchan; Zhu, Xiangchan Weak universality of the dynamical \({{\Phi }_3^4}\) model on the whole space. (English) Zbl 1509.35397 Potential Anal. 58, No. 2, 295-330 (2023). MSC: 35R60 35Q40 81T17 60H15 82C28 PDFBibTeX XMLCite \textit{R. Zhu} and \textit{X. Zhu}, Potential Anal. 58, No. 2, 295--330 (2023; Zbl 1509.35397) Full Text: DOI arXiv
Ehnes, Tim Stochastic wave equations defined by fractal Laplacians on Cantor-like sets. (English) Zbl 1503.60081 Publ. Res. Inst. Math. Sci. 58, No. 4, 713-755 (2022). MSC: 60H15 28A80 35R60 35L05 PDFBibTeX XMLCite \textit{T. Ehnes}, Publ. Res. Inst. Math. Sci. 58, No. 4, 713--755 (2022; Zbl 1503.60081) Full Text: DOI arXiv
Mohan, Manil T. Mild solutions for the stochastic generalized Burgers-Huxley equation. (English) Zbl 1497.60089 J. Theor. Probab. 35, No. 3, 1511-1536 (2022). MSC: 60H15 35K58 35Q35 37H10 60H40 PDFBibTeX XMLCite \textit{M. T. Mohan}, J. Theor. Probab. 35, No. 3, 1511--1536 (2022; Zbl 1497.60089) Full Text: DOI
Hu, Jing; Meyer-Baese, Anke; Zhang, Qimin Analysis of a stochastic reaction-diffusion Alzheimer’s disease system driven by space-time white noise. (English) Zbl 1498.92059 Appl. Math. Lett. 134, Article ID 108308, 8 p. (2022). MSC: 92C32 35K57 60H40 PDFBibTeX XMLCite \textit{J. Hu} et al., Appl. Math. Lett. 134, Article ID 108308, 8 p. (2022; Zbl 1498.92059) Full Text: DOI
Kuzgun, Sefika; Nualart, David Convergence of densities of spatial averages of stochastic heat equation. (English) Zbl 1493.60097 Stochastic Processes Appl. 151, 68-100 (2022). MSC: 60H15 60H07 60H40 PDFBibTeX XMLCite \textit{S. Kuzgun} and \textit{D. Nualart}, Stochastic Processes Appl. 151, 68--100 (2022; Zbl 1493.60097) Full Text: DOI arXiv
Wang, Wensheng Variations of the solution to a fourth order time-fractional stochastic partial integro-differential equation. (English) Zbl 1495.35221 Stoch. Partial Differ. Equ., Anal. Comput. 10, No. 2, 582-613 (2022). MSC: 35R60 35R09 35R11 60H40 45K05 PDFBibTeX XMLCite \textit{W. Wang}, Stoch. Partial Differ. Equ., Anal. Comput. 10, No. 2, 582--613 (2022; Zbl 1495.35221) Full Text: DOI
Kim, Kyeong-Hun; Park, Daehan; Ryu, Junhee A Sobolev space theory for the stochastic partial differential equations with space-time non-local operators. (English) Zbl 1492.60188 J. Evol. Equ. 22, No. 3, Paper No. 57, 57 p. (2022). MSC: 60H15 35R60 26A33 47G20 60H40 46E35 PDFBibTeX XMLCite \textit{K.-H. Kim} et al., J. Evol. Equ. 22, No. 3, Paper No. 57, 57 p. (2022; Zbl 1492.60188) Full Text: DOI arXiv
Shen, Hao; Smith, Scott A.; Zhu, Rongchan; Zhu, Xiangchan Large \(N\) limit of the \(O(N)\) linear sigma model via stochastic quantization. (English) Zbl 1490.60192 Ann. Probab. 50, No. 1, 131-202 (2022). Reviewer: Latifa Debbi (M’Sila) MSC: 60H15 35R60 60H40 PDFBibTeX XMLCite \textit{H. Shen} et al., Ann. Probab. 50, No. 1, 131--202 (2022; Zbl 1490.60192) Full Text: DOI arXiv
Foondun, Mohammud; Nualart, Eulalia Non-existence results for stochastic wave equations in one dimension. (English) Zbl 1484.60065 J. Differ. Equations 318, 557-578 (2022). MSC: 60H15 35K57 60H10 PDFBibTeX XMLCite \textit{M. Foondun} and \textit{E. Nualart}, J. Differ. Equations 318, 557--578 (2022; Zbl 1484.60065) Full Text: DOI arXiv
Olivera, Christian; Tudor, Ciprian A. Absolute continuity of the solution to the stochastic Burgers equation. (English) Zbl 1498.60269 Chaos Solitons Fractals 153, Part 2, Article ID 111635, 6 p. (2021). MSC: 60H15 35K57 60H05 PDFBibTeX XMLCite \textit{C. Olivera} and \textit{C. A. Tudor}, Chaos Solitons Fractals 153, Part 2, Article ID 111635, 6 p. (2021; Zbl 1498.60269) Full Text: DOI arXiv
Millet, Annie; Roudenko, Svetlana; Yang, Kai Behaviour of solutions to the 1D focusing stochastic \(L^2\)-critical and supercritical nonlinear Schrödinger equation with space-time white noise. (English) Zbl 1492.35316 IMA J. Appl. Math. 86, No. 6, 1349-1396 (2021). MSC: 35Q55 35Q41 35B44 35A01 60H40 35R60 PDFBibTeX XMLCite \textit{A. Millet} et al., IMA J. Appl. Math. 86, No. 6, 1349--1396 (2021; Zbl 1492.35316) Full Text: DOI arXiv
Han, Beom-Seok A regularity theory for stochastic partial differential equations driven by multiplicative space-time white noise with the random fractional Laplacians. (English) Zbl 1480.60179 Stoch. Partial Differ. Equ., Anal. Comput. 9, No. 4, 940-983 (2021). MSC: 60H15 35R60 60H40 PDFBibTeX XMLCite \textit{B.-S. Han}, Stoch. Partial Differ. Equ., Anal. Comput. 9, No. 4, 940--983 (2021; Zbl 1480.60179) Full Text: DOI
Omaba, McSylvester Ejighikeme On a mild solution to Hilfer time-fractional stochastic differential equation. (English) Zbl 1513.60088 J. Fract. Calc. Appl. 12, No. 2, 1-10 (2021). MSC: 60H15 35R11 45J05 45G10 PDFBibTeX XMLCite \textit{M. E. Omaba}, J. Fract. Calc. Appl. 12, No. 2, 1--10 (2021; Zbl 1513.60088) Full Text: Link
Griffiths, Matthew; Riedle, Markus Modelling Lévy space-time white noises. (English) Zbl 1485.60042 J. Lond. Math. Soc., II. Ser. 104, No. 3, 1452-1474 (2021). Reviewer: Andriy Olenko (Melbourne) MSC: 60G20 60G57 60G60 60G51 PDFBibTeX XMLCite \textit{M. Griffiths} and \textit{M. Riedle}, J. Lond. Math. Soc., II. Ser. 104, No. 3, 1452--1474 (2021; Zbl 1485.60042) Full Text: DOI arXiv
Araya, Héctor; Garzón, Johanna; Moreno, Nicolás; Plaza, Francisco Hermite spatial variations for the solution to the stochastic heat equation. (English) Zbl 1483.60087 Math. Commun. 26, No. 2, 253-270 (2021). Reviewer: Lifeng Chen (Shanghai) MSC: 60H15 60H07 60F05 60H40 PDFBibTeX XMLCite \textit{H. Araya} et al., Math. Commun. 26, No. 2, 253--270 (2021; Zbl 1483.60087) Full Text: Link
Röckner, Michael; Yang, Huanyu; Zhu, Rongchan Conservative stochastic two-dimensional Cahn-Hilliard equation. (English) Zbl 1476.60104 Ann. Appl. Probab. 31, No. 3, 1336-1375 (2021). MSC: 60H15 82C28 60H40 PDFBibTeX XMLCite \textit{M. Röckner} et al., Ann. Appl. Probab. 31, No. 3, 1336--1375 (2021; Zbl 1476.60104) Full Text: DOI arXiv Link
Xiong, Jie; Zhang, Rangrang Semilinear stochastic partial differential equations: central limit theorem and moderate deviations. (English) Zbl 1479.60140 Math. Methods Appl. Sci. 44, No. 8, 6808-6838 (2021). Reviewer: Feng-Yu Wang (Swansea) MSC: 60H15 60F05 60F10 60H40 35K57 PDFBibTeX XMLCite \textit{J. Xiong} and \textit{R. Zhang}, Math. Methods Appl. Sci. 44, No. 8, 6808--6838 (2021; Zbl 1479.60140) Full Text: DOI arXiv
Arab, Zineb; Debbi, Latifa Fractional stochastic Burgers-type equation in Hölder space – wellposedness and approximations. (English) Zbl 1469.58022 Math. Methods Appl. Sci. 44, No. 1, 705-736 (2021). MSC: 58J65 60H15 35R11 PDFBibTeX XMLCite \textit{Z. Arab} and \textit{L. Debbi}, Math. Methods Appl. Sci. 44, No. 1, 705--736 (2021; Zbl 1469.58022) Full Text: DOI arXiv
Mueller, Carl; Mytnik, Leonid; Ryzhik, Lenya The speed of a random front for stochastic reaction-diffusion equations with strong noise. (English) Zbl 1466.35005 Commun. Math. Phys. 384, No. 2, 699-732 (2021). MSC: 35A18 35K57 35K15 35R60 PDFBibTeX XMLCite \textit{C. Mueller} et al., Commun. Math. Phys. 384, No. 2, 699--732 (2021; Zbl 1466.35005) Full Text: DOI arXiv
Chen, Bing Guang; Zhu, Xiang Chan On the small time asymptotics of the dynamical \(\Phi_1^4\) model. (English) Zbl 1464.60064 Acta Math. Sin., Engl. Ser. 37, No. 3, 436-446 (2021). Reviewer: Feng-Yu Wang (Swansea) MSC: 60H15 60F10 60H40 PDFBibTeX XMLCite \textit{B. G. Chen} and \textit{X. C. Zhu}, Acta Math. Sin., Engl. Ser. 37, No. 3, 436--446 (2021; Zbl 1464.60064) Full Text: DOI arXiv
Foondun, Mohammud Remarks on a fractional-time stochastic equation. (English) Zbl 1467.60047 Proc. Am. Math. Soc. 149, No. 5, 2235-2247 (2021). Reviewer: Martin Ondreját (Praha) MSC: 60H15 60H40 PDFBibTeX XMLCite \textit{M. Foondun}, Proc. Am. Math. Soc. 149, No. 5, 2235--2247 (2021; Zbl 1467.60047) Full Text: DOI arXiv Link
Yamazaki, Kazuo A note on the applications of Wick products and Feynman diagrams in the study of singular partial differential equations. (English) Zbl 1458.35492 J. Comput. Appl. Math. 388, Article ID 113338, 16 p. (2021). MSC: 35R60 35B65 35Q35 PDFBibTeX XMLCite \textit{K. Yamazaki}, J. Comput. Appl. Math. 388, Article ID 113338, 16 p. (2021; Zbl 1458.35492) Full Text: DOI
Foondun, Mohammud; Nualart, Eulalia The Osgood condition for stochastic partial differential equations. (English) Zbl 1472.60100 Bernoulli 27, No. 1, 295-311 (2021). MSC: 60H15 60H40 35K05 35R11 35R60 PDFBibTeX XMLCite \textit{M. Foondun} and \textit{E. Nualart}, Bernoulli 27, No. 1, 295--311 (2021; Zbl 1472.60100) Full Text: DOI arXiv Euclid
Antonopoulou, Dimitra C. Space-time discontinuous Galerkin methods for the \(\varepsilon\)-dependent stochastic Allen-Cahn equation with mild noise. (English) Zbl 1466.65119 IMA J. Numer. Anal. 40, No. 3, 2076-2105 (2020). MSC: 65M60 65M15 60H40 60H15 65M75 35R60 PDFBibTeX XMLCite \textit{D. C. Antonopoulou}, IMA J. Numer. Anal. 40, No. 3, 2076--2105 (2020; Zbl 1466.65119) Full Text: DOI
Becker, Sebastian; Gess, Benjamin; Jentzen, Arnulf; Kloeden, Peter E. Lower and upper bounds for strong approximation errors for numerical approximations of stochastic heat equations. (English) Zbl 1472.60111 BIT 60, No. 4, 1057-1073 (2020). MSC: 60H35 65C30 60H15 PDFBibTeX XMLCite \textit{S. Becker} et al., BIT 60, No. 4, 1057--1073 (2020; Zbl 1472.60111) Full Text: DOI arXiv
Boulanba, Lahcen; Mellouk, Mohamed Large deviations for a stochastic Cahn-Hilliard equation in Hölder norm. (English) Zbl 1454.60038 Infin. Dimens. Anal. Quantum Probab. Relat. Top. 23, No. 2, Article ID 2050010, 17 p. (2020). MSC: 60F10 60H15 60G15 PDFBibTeX XMLCite \textit{L. Boulanba} and \textit{M. Mellouk}, Infin. Dimens. Anal. Quantum Probab. Relat. Top. 23, No. 2, Article ID 2050010, 17 p. (2020; Zbl 1454.60038) Full Text: DOI arXiv
Han, Beom-Seok; Kim, Kyeong-Hun Boundary behavior and interior Hölder regularity of the solution to nonlinear stochastic partial differential equation driven by space-time white noise. (English) Zbl 1447.60103 J. Differ. Equations 269, No. 11, 9904-9935 (2020). MSC: 60H15 35R60 60H40 PDFBibTeX XMLCite \textit{B.-S. Han} and \textit{K.-H. Kim}, J. Differ. Equations 269, No. 11, 9904--9935 (2020; Zbl 1447.60103) Full Text: DOI arXiv
Dong, Zhao; Zhang, Rangrang Ergodicity for a class of semilinear stochastic partial differential equations. (English) Zbl 1508.60066 Math. Methods Appl. Sci. 43, No. 5, 2117-2136 (2020). MSC: 60H15 60H40 35B40 35R60 37A25 PDFBibTeX XMLCite \textit{Z. Dong} and \textit{R. Zhang}, Math. Methods Appl. Sci. 43, No. 5, 2117--2136 (2020; Zbl 1508.60066) Full Text: DOI arXiv
Oh, Tadahiro; Okamoto, Mamoru; Robert, Tristan A remark on triviality for the two-dimensional stochastic nonlinear wave equation. (English) Zbl 1448.35587 Stochastic Processes Appl. 130, No. 9, 5838-5864 (2020). MSC: 35R60 35L71 60H15 PDFBibTeX XMLCite \textit{T. Oh} et al., Stochastic Processes Appl. 130, No. 9, 5838--5864 (2020; Zbl 1448.35587) Full Text: DOI arXiv
Chong, Carsten; Delerue, Thomas Normal approximation of the solution to the stochastic heat equation with Lévy noise. (English) Zbl 1459.60136 Stoch. Partial Differ. Equ., Anal. Comput. 8, No. 2, 362-401 (2020). MSC: 60H15 60G51 60H35 60H05 PDFBibTeX XMLCite \textit{C. Chong} and \textit{T. Delerue}, Stoch. Partial Differ. Equ., Anal. Comput. 8, No. 2, 362--401 (2020; Zbl 1459.60136) Full Text: DOI arXiv
Asogwa, Sunday A.; Mijena, Jebessa B.; Nane, Erkan Blow-up results for space-time fractional stochastic partial differential equations. (English) Zbl 1453.60113 Potential Anal. 53, No. 2, 357-386 (2020). MSC: 60H15 35B44 35R11 35R60 35K57 PDFBibTeX XMLCite \textit{S. A. Asogwa} et al., Potential Anal. 53, No. 2, 357--386 (2020; Zbl 1453.60113) Full Text: DOI arXiv
Flandoli, Franco; Luo, Dejun Convergence of transport noise to Ornstein-Uhlenbeck for 2D Euler equations under the enstrophy measure. (English) Zbl 1440.35234 Ann. Probab. 48, No. 1, 264-295 (2020). MSC: 35Q30 35Q31 60H40 76D05 PDFBibTeX XMLCite \textit{F. Flandoli} and \textit{D. Luo}, Ann. Probab. 48, No. 1, 264--295 (2020; Zbl 1440.35234) Full Text: DOI arXiv Euclid
Zhu, Rongchan; Zhu, Xiangchan Piecewise linear approximation for the dynamical \(\Phi_3^4\) model. (English) Zbl 1431.60127 Sci. China, Math. 63, No. 2, 381-410 (2020). MSC: 60L30 35K58 35R60 82C28 PDFBibTeX XMLCite \textit{R. Zhu} and \textit{X. Zhu}, Sci. China, Math. 63, No. 2, 381--410 (2020; Zbl 1431.60127) Full Text: DOI arXiv
Kim, Ildoo; Kim, Kyeong-Hun; Lim, Sungbin A Sobolev space theory for stochastic partial differential equations with time-fractional derivatives. (English) Zbl 1446.60044 Ann. Probab. 47, No. 4, 2087-2139 (2019). Reviewer: Yuliya S. Mishura (Kyïv) MSC: 60H15 35R60 45D05 60H40 PDFBibTeX XMLCite \textit{I. Kim} et al., Ann. Probab. 47, No. 4, 2087--2139 (2019; Zbl 1446.60044) Full Text: DOI arXiv Euclid
Belfadli, Rachid; Boulanba, Lahcen; Mellouk, Mohamed Moderate deviations for a stochastic Burgers equation. (English) Zbl 1426.60031 Mod. Stoch., Theory Appl. 6, No. 2, 167-193 (2019). MSC: 60F10 60F05 60H15 PDFBibTeX XMLCite \textit{R. Belfadli} et al., Mod. Stoch., Theory Appl. 6, No. 2, 167--193 (2019; Zbl 1426.60031) Full Text: DOI arXiv
Foondun, Mohammud; Liu, Wei; Nane, Erkan Some non-existence results for a class of stochastic partial differential equations. (English) Zbl 1420.35480 J. Differ. Equations 266, No. 5, 2575-2596 (2019). MSC: 35R60 60H15 PDFBibTeX XMLCite \textit{M. Foondun} et al., J. Differ. Equations 266, No. 5, 2575--2596 (2019; Zbl 1420.35480) Full Text: DOI arXiv Link
Cornalba, Federico; Shardlow, Tony; Zimmer, Johannes A regularized Dean-Kawasaki model: derivation and analysis. (English) Zbl 1414.60047 SIAM J. Math. Anal. 51, No. 2, 1137-1187 (2019). MSC: 60H15 35R60 PDFBibTeX XMLCite \textit{F. Cornalba} et al., SIAM J. Math. Anal. 51, No. 2, 1137--1187 (2019; Zbl 1414.60047) Full Text: DOI arXiv
Gunzburger, Max; Li, Buyang; Wang, Jilu Sharp convergence rates of time discretization for stochastic time-fractional PDEs subject to additive space-time white noise. (English) Zbl 1418.60077 Math. Comput. 88, No. 318, 1715-1741 (2019). MSC: 60H15 60H35 65M12 PDFBibTeX XMLCite \textit{M. Gunzburger} et al., Math. Comput. 88, No. 318, 1715--1741 (2019; Zbl 1418.60077) Full Text: DOI arXiv
Lewis, Peter; Nualart, David Stochastic Burgers’ equation on the real line: regularity and moment estimates. (English) Zbl 1498.60264 Stochastics 90, No. 7, 1053-1086 (2018). MSC: 60H15 35Q53 35R60 PDFBibTeX XMLCite \textit{P. Lewis} and \textit{D. Nualart}, Stochastics 90, No. 7, 1053--1086 (2018; Zbl 1498.60264) Full Text: DOI arXiv
Hu, Ying; Tang, Shanjian Nonlinear backward stochastic evolutionary equations driven by a space-time white noise. (English) Zbl 1419.60051 Math. Control Relat. Fields 8, No. 3-4, 739-751 (2018). MSC: 60H15 35R60 PDFBibTeX XMLCite \textit{Y. Hu} and \textit{S. Tang}, Math. Control Relat. Fields 8, No. 3--4, 739--751 (2018; Zbl 1419.60051) Full Text: DOI arXiv
Zouraris, Georgios E. An IMEX finite element method for a linearized Cahn-Hilliard-Cook equation driven by the space derivative of a space-time white noise. (English) Zbl 1413.65378 Comput. Appl. Math. 37, No. 5, 5555-5575 (2018). MSC: 65M60 65M15 65C20 65M06 35R60 PDFBibTeX XMLCite \textit{G. E. Zouraris}, Comput. Appl. Math. 37, No. 5, 5555--5575 (2018; Zbl 1413.65378) Full Text: DOI arXiv
Zhu, Rongchan; Zhuï, Xiangchan Dirichlet form associated with the \(\Phi_3^4\) model. (English) Zbl 1415.60082 Electron. J. Probab. 23, Paper No. 78, 31 p. (2018). MSC: 60H15 82C28 PDFBibTeX XMLCite \textit{R. Zhu} and \textit{X. Zhuï}, Electron. J. Probab. 23, Paper No. 78, 31 p. (2018; Zbl 1415.60082) Full Text: DOI arXiv Euclid
Yan, Litan; Yin, Xiuwei Large deviation principle for a space-time fractional stochastic heat equation with fractional noise. (English) Zbl 1398.60047 Fract. Calc. Appl. Anal. 21, No. 2, 462-485 (2018). MSC: 60F10 60H15 60G22 35R11 PDFBibTeX XMLCite \textit{L. Yan} and \textit{X. Yin}, Fract. Calc. Appl. Anal. 21, No. 2, 462--485 (2018; Zbl 1398.60047) Full Text: DOI
Zhu, Rongchan; Zhu, Xiangchan Lattice approximation to the dynamical \(\Phi_{3}^{4}\) model. (English) Zbl 1393.82014 Ann. Probab. 46, No. 1, 397-455 (2018). Reviewer: Aleksandr D. Borisenko (Kyïv) MSC: 82C28 60H15 PDFBibTeX XMLCite \textit{R. Zhu} and \textit{X. Zhu}, Ann. Probab. 46, No. 1, 397--455 (2018; Zbl 1393.82014) Full Text: DOI arXiv
Zouraris, Georgios E. Crank-Nicolson finite element approximations for a linear stochastic fourth order equation with additive space-time white noise. (English) Zbl 1448.65179 SIAM J. Numer. Anal. 56, No. 2, 838-858 (2018). MSC: 65M60 65N30 65M06 65M12 65M15 65C30 35K25 60H40 35Q60 PDFBibTeX XMLCite \textit{G. E. Zouraris}, SIAM J. Numer. Anal. 56, No. 2, 838--858 (2018; Zbl 1448.65179) Full Text: DOI arXiv
Zhu, Rongchan; Zhu, Xiangchan Approximating 3D Navier-Stokes equations driven by space-time white noise. (English) Zbl 1386.60230 Infin. Dimens. Anal. Quantum Probab. Relat. Top. 20, No. 4, Article ID 1750020, 77 p. (2017). MSC: 60H15 82C28 PDFBibTeX XMLCite \textit{R. Zhu} and \textit{X. Zhu}, Infin. Dimens. Anal. Quantum Probab. Relat. Top. 20, No. 4, Article ID 1750020, 77 p. (2017; Zbl 1386.60230) Full Text: DOI arXiv
Chong, Carsten Lévy-driven Volterra equations in space and time. (English) Zbl 1386.60179 J. Theor. Probab. 30, No. 3, 1014-1058 (2017). MSC: 60G60 60G10 60H15 60H20 60G51 60G57 PDFBibTeX XMLCite \textit{C. Chong}, J. Theor. Probab. 30, No. 3, 1014--1058 (2017; Zbl 1386.60179) Full Text: DOI arXiv
Röckner, Michael; Zhu, Rongchan; Zhu, Xiangchan Restricted Markov uniqueness for the stochastic quantization of \(P(\Phi)_{2}\) and its applications. (English) Zbl 1405.60096 J. Funct. Anal. 272, No. 10, 4263-4303 (2017). MSC: 60H15 82C28 PDFBibTeX XMLCite \textit{M. Röckner} et al., J. Funct. Anal. 272, No. 10, 4263--4303 (2017; Zbl 1405.60096) Full Text: DOI arXiv
Tuckwell, Henry C. Numerical solutions of some stochastic hyperbolic wave equations including sine-Gordon equation. (English) Zbl 1467.65097 Wave Motion 65, 130-146 (2016). MSC: 65M75 35L71 35R60 PDFBibTeX XMLCite \textit{H. C. Tuckwell}, Wave Motion 65, 130--146 (2016; Zbl 1467.65097) Full Text: DOI
Shekarabi, F. Hosseini; Khodabin, M. Numerical solution of a model for stochastic polymer equation driven by space-time Brownian motion via homotopy perturbation method. (English) Zbl 1421.82033 Int. J. Appl. Comput. Math. 2, No. 4, 485-498 (2016). MSC: 82C80 82D60 65M99 60H35 65R20 PDFBibTeX XMLCite \textit{F. H. Shekarabi} and \textit{M. Khodabin}, Int. J. Appl. Comput. Math. 2, No. 4, 485--498 (2016; Zbl 1421.82033) Full Text: DOI
Bréhier, Charles-Edouard; Vilmart, Gilles High order integrator for sampling the invariant distribution of a class of parabolic stochastic PDEs with additive space-time noise. (English) Zbl 1346.60105 SIAM J. Sci. Comput. 38, No. 4, A2283-A2306 (2016). MSC: 60H35 60H15 60H10 65C30 37M25 PDFBibTeX XMLCite \textit{C.-E. Bréhier} and \textit{G. Vilmart}, SIAM J. Sci. Comput. 38, No. 4, A2283--A2306 (2016; Zbl 1346.60105) Full Text: DOI arXiv
Sauer, Martin \(L^1\)-uniqueness of Kolmogorov operators associated with two-dimensional stochastic Navier-Stokes Coriolis equations with space-time white noise. (English) Zbl 1342.76038 J. Theor. Probab. 29, No. 2, 569-589 (2016). Reviewer: Piotr Biler (Wrocław) MSC: 76D06 60H15 76M35 PDFBibTeX XMLCite \textit{M. Sauer}, J. Theor. Probab. 29, No. 2, 569--589 (2016; Zbl 1342.76038) Full Text: DOI arXiv
Kupiainen, Antti Renormalization group and stochastic PDEs. (English) Zbl 1347.81063 Ann. Henri Poincaré 17, No. 3, 497-535 (2016). Reviewer: Feng-Yu Wang (Swansea) MSC: 81T17 35R60 60H15 60H20 PDFBibTeX XMLCite \textit{A. Kupiainen}, Ann. Henri Poincaré 17, No. 3, 497--535 (2016; Zbl 1347.81063) Full Text: DOI arXiv
Xie, Bin Some effects of the noise intensity upon non-linear stochastic heat equations on \([0, 1]\). (English) Zbl 1333.60144 Stochastic Processes Appl. 126, No. 4, 1184-1205 (2016). MSC: 60H15 60H25 60K37 35R60 PDFBibTeX XMLCite \textit{B. Xie}, Stochastic Processes Appl. 126, No. 4, 1184--1205 (2016; Zbl 1333.60144) Full Text: DOI arXiv
Antonopoulou, Dimitra C.; Karali, Georgia; Millet, Annie Existence and regularity of solution for a stochastic Cahn-Hilliard/Allen-Cahn equation with unbounded noise diffusion. (English) Zbl 1382.35343 J. Differ. Equations 260, No. 3, 2383-2417 (2016). MSC: 35R60 35B65 35K35 35K55 60H15 60H30 PDFBibTeX XMLCite \textit{D. C. Antonopoulou} et al., J. Differ. Equations 260, No. 3, 2383--2417 (2016; Zbl 1382.35343) Full Text: DOI arXiv
Denis, Laurent; Matoussi, Anis; Zhang, Jing The obstacle problem for quasilinear stochastic PDEs with non-homogeneous operator. (English) Zbl 1335.60109 Discrete Contin. Dyn. Syst. 35, No. 11, 5185-5202 (2015). MSC: 60H15 35R60 31B15 PDFBibTeX XMLCite \textit{L. Denis} et al., Discrete Contin. Dyn. Syst. 35, No. 11, 5185--5202 (2015; Zbl 1335.60109) Full Text: DOI arXiv
Chen, Le; Dalang, Robert C. Moments and growth indices for the nonlinear stochastic heat equation with rough initial conditions. (English) Zbl 1338.60155 Ann. Probab. 43, No. 6, 3006-3051 (2015). Reviewer: Martin Ondreját (Praha) MSC: 60H15 60G60 35R60 PDFBibTeX XMLCite \textit{L. Chen} and \textit{R. C. Dalang}, Ann. Probab. 43, No. 6, 3006--3051 (2015; Zbl 1338.60155) Full Text: DOI arXiv Euclid
Zhu, Rongchan; Zhu, Xiangchan Three-dimensional Navier-Stokes equations driven by space-time white noise. (English) Zbl 1336.60127 J. Differ. Equations 259, No. 9, 4443-4508 (2015). Reviewer: Yuliya S. Mishura (Kyïv) MSC: 60H15 60H40 82C28 PDFBibTeX XMLCite \textit{R. Zhu} and \textit{X. Zhu}, J. Differ. Equations 259, No. 9, 4443--4508 (2015; Zbl 1336.60127) Full Text: DOI arXiv
da Silva, Telles Timóteo; Fragoso, Marcelo Dutra On the differential equation satisfied by the random measure density of a jump-type Fleming-Viot process. (English) Zbl 1326.60070 Stochastics 87, No. 1, 71-84 (2015). MSC: 60G57 60H15 60J75 60J68 60J70 92D25 PDFBibTeX XMLCite \textit{T. T. da Silva} and \textit{M. D. Fragoso}, Stochastics 87, No. 1, 71--84 (2015; Zbl 1326.60070) Full Text: DOI
Cialenco, Igor; Xu, Liaosha Hypothesis testing for stochastic PDEs driven by additive noise. (English) Zbl 1307.60092 Stochastic Processes Appl. 125, No. 3, 819-866 (2015). MSC: 60H15 62M02 35R60 60H40 60F10 PDFBibTeX XMLCite \textit{I. Cialenco} and \textit{L. Xu}, Stochastic Processes Appl. 125, No. 3, 819--866 (2015; Zbl 1307.60092) Full Text: DOI arXiv
Wang, Xiaojie; Gan, Siqing; Tang, Jingtian Higher order strong approximations of semilinear stochastic wave equation with additive space-time white noise. (English) Zbl 1322.65023 SIAM J. Sci. Comput. 36, No. 6, A2611-A2632 (2014). MSC: 65C30 65M22 60H35 60H15 65J15 PDFBibTeX XMLCite \textit{X. Wang} et al., SIAM J. Sci. Comput. 36, No. 6, A2611--A2632 (2014; Zbl 1322.65023) Full Text: DOI arXiv
Cialenco, Igor; Xu, Liaosha A note on error estimation for hypothesis testing problems for some linear SPDEs. (English) Zbl 1322.60108 Stoch. Partial Differ. Equ., Anal. Comput. 2, No. 3, 408-431 (2014). MSC: 60H15 62M07 60F10 60H35 65C60 65C30 PDFBibTeX XMLCite \textit{I. Cialenco} and \textit{L. Xu}, Stoch. Partial Differ. Equ., Anal. Comput. 2, No. 3, 408--431 (2014; Zbl 1322.60108) Full Text: DOI arXiv
Khoshnevisan, D. Parabolic SPDEs and intermittency. 16th Brazilian Summer School of Probability. Recife, Brazil, August 6–11, 2012. (English) Zbl 1308.60078 Markov Process. Relat. Fields 20, No. 1, 45-80 (2014). Reviewer: Stefan Tappe (Hannover) MSC: 60H15 60H05 60H40 60H30 35R60 PDFBibTeX XMLCite \textit{D. Khoshnevisan}, Markov Process. Relat. Fields 20, No. 1, 45--80 (2014; Zbl 1308.60078)
Karali, Georgia; Nagase, Yuko On the existence of solution for a Cahn-Hilliard/Allen-Cahn equation. (English) Zbl 1276.35004 Discrete Contin. Dyn. Syst., Ser. S 7, No. 1, 127-137 (2014). MSC: 35A01 60H15 35R60 35K35 35K58 PDFBibTeX XMLCite \textit{G. Karali} and \textit{Y. Nagase}, Discrete Contin. Dyn. Syst., Ser. S 7, No. 1, 127--137 (2014; Zbl 1276.35004) Full Text: DOI
Kossioris, Georgios T.; Zouraris, Georgios E. Finite element approximations for a linear Cahn-Hilliard-Cook equation driven by the space derivative of a space-time white noise. (English) Zbl 1278.65152 Discrete Contin. Dyn. Syst., Ser. B 18, No. 7, 1845-1872 (2013). MSC: 65M60 35Q35 65M15 65C30 60H15 PDFBibTeX XMLCite \textit{G. T. Kossioris} and \textit{G. E. Zouraris}, Discrete Contin. Dyn. Syst., Ser. B 18, No. 7, 1845--1872 (2013; Zbl 1278.65152) Full Text: DOI arXiv
Conus, Daniel; Joseph, Mathew; Khoshnevisan, Davar On the chaotic character of the stochastic heat equation, before the onset of intermitttency. (English) Zbl 1286.60060 Ann. Probab. 41, No. 3B, 2225-2260 (2013). Reviewer: Isamu Dôku (Saitama) MSC: 60H15 35R60 PDFBibTeX XMLCite \textit{D. Conus} et al., Ann. Probab. 41, No. 3B, 2225--2260 (2013; Zbl 1286.60060) Full Text: DOI arXiv Euclid
Kossioris, Georgios T.; Zouraris, Georgios E. Finite element approximations for a linear fourth-order parabolic SPDE in two and three space dimensions with additive space-time white noise. (English) Zbl 1271.65016 Appl. Numer. Math. 67, 243-261 (2013). Reviewer: Gong Guanglu (Beijing) MSC: 65C30 35K25 35R60 60H15 60H40 60H35 65M60 65M06 65M15 PDFBibTeX XMLCite \textit{G. T. Kossioris} and \textit{G. E. Zouraris}, Appl. Numer. Math. 67, 243--261 (2013; Zbl 1271.65016) Full Text: DOI
Antonopoulou, Dimitra; Karali, Georgia Existence of solution for a generalized stochastic Cahn-Hilliard equation on convex domains. (English) Zbl 1227.35163 Discrete Contin. Dyn. Syst., Ser. B 16, No. 1, 31-55 (2011). MSC: 35K55 35K40 60H30 60H15 PDFBibTeX XMLCite \textit{D. Antonopoulou} and \textit{G. Karali}, Discrete Contin. Dyn. Syst., Ser. B 16, No. 1, 31--55 (2011; Zbl 1227.35163) Full Text: DOI
Wu, Dongsheng On the solution process for a stochastic fractional partial differential equation driven by space-time white noise. (English) Zbl 1220.60038 Stat. Probab. Lett. 81, No. 8, 1161-1172 (2011). MSC: 60H15 60G22 60G15 60G17 28A80 PDFBibTeX XMLCite \textit{D. Wu}, Stat. Probab. Lett. 81, No. 8, 1161--1172 (2011; Zbl 1220.60038) Full Text: DOI
Hairer, Martin; Stuart, Andrew M.; Voss, Jochen Sampling conditioned hypoelliptic diffusions. (English) Zbl 1219.60062 Ann. Appl. Probab. 21, No. 2, 669-698 (2011). Reviewer: Yuliya S. Mishura (Kyïv) MSC: 60H15 60J60 37H10 PDFBibTeX XMLCite \textit{M. Hairer} et al., Ann. Appl. Probab. 21, No. 2, 669--698 (2011; Zbl 1219.60062) Full Text: DOI arXiv
Conus, Daniel; Khoshnevisan, Davar Weak nonmild solutions to some SPDEs. (English) Zbl 1259.60067 Ill. J. Math. 54, No. 4, 1329-1341 (2010). MSC: 60H15 35R60 PDFBibTeX XMLCite \textit{D. Conus} and \textit{D. Khoshnevisan}, Ill. J. Math. 54, No. 4, 1329--1341 (2010; Zbl 1259.60067) Full Text: arXiv Euclid
Bo, Lijun; Shi, Kehua; Wang, Yongjin Support theorem for a stochastic Cahn-Hilliard equation. (English) Zbl 1225.60101 Electron. J. Probab. 15, Paper No. 17, 484-525 (2010). MSC: 60H15 60H05 PDFBibTeX XMLCite \textit{L. Bo} et al., Electron. J. Probab. 15, Paper No. 17, 484--525 (2010; Zbl 1225.60101) Full Text: DOI EMIS
Jacob, Niels; Potrykus, Alexander; Wu, Jiang-Lun Solving a non-linear stochastic pseudo-differential equation of Burgers type. (English) Zbl 1203.60086 Stochastic Processes Appl. 120, No. 12, 2447-2467 (2010). MSC: 60H15 35R60 PDFBibTeX XMLCite \textit{N. Jacob} et al., Stochastic Processes Appl. 120, No. 12, 2447--2467 (2010; Zbl 1203.60086) Full Text: DOI
Hausenblas, Erika Weak approximation of the stochastic wave equation. (English) Zbl 1208.65016 J. Comput. Appl. Math. 235, No. 1, 33-58 (2010). Reviewer: Gong Guanglu (Beijing) MSC: 65C30 60H15 60H35 35R60 35L05 PDFBibTeX XMLCite \textit{E. Hausenblas}, J. Comput. Appl. Math. 235, No. 1, 33--58 (2010; Zbl 1208.65016) Full Text: DOI
Kossioris, Georgios T.; Zouraris, Georgios E. Fully-discrete finite element approximations for a fourth-order linear stochastic parabolic equation with additive space-time white noise. (English) Zbl 1189.65018 ESAIM, Math. Model. Numer. Anal. 44, No. 2, 289-322 (2010). Reviewer: Rózsa Horvàth-Bokor (Budapest) MSC: 65C30 65M60 65M15 60H15 60H35 35R60 PDFBibTeX XMLCite \textit{G. T. Kossioris} and \textit{G. E. Zouraris}, ESAIM, Math. Model. Numer. Anal. 44, No. 2, 289--322 (2010; Zbl 1189.65018) Full Text: DOI arXiv EuDML
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 PDFBibTeX XMLCite \textit{M. Niu} and \textit{B. Xie}, Proc. Am. Math. Soc. 138, No. 4, 1479--1489 (2010; Zbl 1186.60061) Full Text: DOI
Jentzen, A.; Kloeden, P. E. A unified existence and uniqueness theorem for stochastic evolution equations. (English) Zbl 1200.60051 Bull. Aust. Math. Soc. 81, No. 1, 33-46 (2010). Reviewer: Lluís Quer-Sardanyons (Bellaterra) MSC: 60H15 35K90 PDFBibTeX XMLCite \textit{A. Jentzen} and \textit{P. E. Kloeden}, Bull. Aust. Math. Soc. 81, No. 1, 33--46 (2010; Zbl 1200.60051) Full Text: DOI
Shi, Kehua; Wang, Yongjin On a stochastic fractional partial differential equation driven by a Lévy space-time white noise. (English) Zbl 1185.60071 J. Math. Anal. Appl. 364, No. 1, 119-129 (2010). MSC: 60H15 PDFBibTeX XMLCite \textit{K. Shi} and \textit{Y. Wang}, J. Math. Anal. Appl. 364, No. 1, 119--129 (2010; Zbl 1185.60071) Full Text: DOI
Guo, Boling; Wang, Guolian; Wang, Shu Well posedness for the stochastic Cahn-Hilliard equation driven by Lévy space-time white noise. (English) Zbl 1240.35590 Differ. Integral Equ. 22, No. 5-6, 543-560 (2009). MSC: 35R60 60H15 35L76 35B30 PDFBibTeX XMLCite \textit{B. Guo} et al., Differ. Integral Equ. 22, No. 5--6, 543--560 (2009; Zbl 1240.35590)
Dalang, Robert C.; Khoshnevisan, Davar; Nualart, Eulalia Hitting probabilities for systems of non-linear stochastic heat equations with multiplicative noise. (English) Zbl 1178.60047 Probab. Theory Relat. Fields 144, No. 3-4, 371-427 (2009). Reviewer: Carles Rovira (Barcelona) MSC: 60H15 60J45 60H07 60G60 PDFBibTeX XMLCite \textit{R. C. Dalang} et al., Probab. Theory Relat. Fields 144, No. 3--4, 371--427 (2009; Zbl 1178.60047) Full Text: DOI arXiv Link
Sanz-Solé, Marta; Malliavin, Paul Smoothness of the functional law generated by a nonlinear SPDE. (English) Zbl 1309.60069 Chin. Ann. Math., Ser. B 29, No. 2, 113-120 (2008). MSC: 60H15 60H07 60H40 PDFBibTeX XMLCite \textit{M. Sanz-Solé} and \textit{P. Malliavin}, Chin. Ann. Math., Ser. B 29, No. 2, 113--120 (2008; Zbl 1309.60069) Full Text: DOI
Bo, Lijun; Shi, Kehua; Wang, Yongjin Jump type Cahn-Hilliard equations with fractional noises. (English) Zbl 1195.60088 Chin. Ann. Math., Ser. B 29, No. 6, 663-678 (2008). Reviewer: Kai Liu (Liverpool) MSC: 60H15 PDFBibTeX XMLCite \textit{L. Bo} et al., Chin. Ann. Math., Ser. B 29, No. 6, 663--678 (2008; Zbl 1195.60088) Full Text: DOI
Dappiaggi, Claudio On the Lagrangian and Hamiltonian formulation of a scalar free field theory at null infinity. (English) Zbl 1194.81172 Rev. Math. Phys. 20, No. 7, 801-833 (2008). Reviewer: Michael B. Mensky (Moskva) MSC: 81T20 81R10 83C30 60H40 PDFBibTeX XMLCite \textit{C. Dappiaggi}, Rev. Math. Phys. 20, No. 7, 801--833 (2008; Zbl 1194.81172) Full Text: DOI
Barbu, Viorel; da Prato, Giuseppe The Kolmogorov equation for a 2D-Navier-Stokes stochastic flow in a channel. (English) Zbl 1142.76355 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 69, No. 3, 940-949 (2008). MSC: 76D05 60H15 37A25 PDFBibTeX XMLCite \textit{V. Barbu} and \textit{G. da Prato}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 69, No. 3, 940--949 (2008; Zbl 1142.76355) Full Text: DOI
Xie, Bin Stochastic differential equations with non-Lipschitz coefficients in Hilbert spaces. (English) Zbl 1144.60042 Stochastic Anal. Appl. 26, No. 2, 408-433 (2008). Reviewer: Andrew Dale (Durban) MSC: 60H20 60H10 34F05 PDFBibTeX XMLCite \textit{B. Xie}, Stochastic Anal. Appl. 26, No. 2, 408--433 (2008; Zbl 1144.60042) Full Text: DOI
Xie, Bin The stochastic parabolic partial differential equation with non-Lipschitz coefficients on the unbounded domain. (English) Zbl 1130.60070 J. Math. Anal. Appl. 339, No. 1, 705-718 (2008). MSC: 60H15 PDFBibTeX XMLCite \textit{B. Xie}, J. Math. Anal. Appl. 339, No. 1, 705--718 (2008; Zbl 1130.60070) Full Text: DOI
Cao, Yanzhao; Yin, Li Spectral Galerkin method for stochastic wave equations driven by space-time white noise. (English) Zbl 1138.65005 Commun. Pure Appl. Anal. 6, No. 3, 607-617 (2007). Reviewer: Grigori N. Milstein (Ekaterinburg) MSC: 65C30 60H35 60H15 35R60 65M12 65M60 PDFBibTeX XMLCite \textit{Y. Cao} and \textit{L. Yin}, Commun. Pure Appl. Anal. 6, No. 3, 607--617 (2007; Zbl 1138.65005) Full Text: DOI
Azerad, Pascal; Mellouk, Mohamed On a stochastic partial differential equation with non-local diffusion. (English) Zbl 1120.60059 Potential Anal. 27, No. 2, 183-197 (2007). MSC: 60H15 35R60 PDFBibTeX XMLCite \textit{P. Azerad} and \textit{M. Mellouk}, Potential Anal. 27, No. 2, 183--197 (2007; Zbl 1120.60059) Full Text: DOI arXiv