Ascanelli, Alessia; Coriasco, Sandro; Süß, André Random-field solutions of linear parabolic stochastic partial differential equations with polynomially bounded variable coefficients. (English) Zbl 07332018 Cicognani, Massimo (ed.) et al., Anomalies in partial differential equations. Based on talks given at the INDAM workshop, University of Rome “La Sapienza”, Rome, Italy, September 9–13, 2019. Cham: Springer (ISBN 978-3-030-61345-7/hbk; 978-3-030-61346-4/ebook). Springer INdAM Series 43, 35-62 (2021). MSC: 35 PDF BibTeX XML Cite \textit{A. Ascanelli} et al., Springer INdAM Ser. 43, 35--62 (2021; Zbl 07332018) Full Text: DOI
Bensoussan, Alain; Frehse, Jens; Yam, Sheung Chi Phillip Systems of quasilinear parabolic equations in \(\mathbb{R}^n\) and systems of quadratic backward stochastic differential equations. (English. French summary) Zbl 07331624 J. Math. Pures Appl. (9) 149, 135-185 (2021). MSC: 35B37 49N70 60H15 91A06 PDF BibTeX XML Cite \textit{A. Bensoussan} et al., J. Math. Pures Appl. (9) 149, 135--185 (2021; Zbl 07331624) Full Text: DOI
Dai, Dihan; Epshteyn, Yekaterina; Narayan, Akil Hyperbolicity-preserving and well-balanced stochastic Galerkin method for shallow water equations. (English) Zbl 07331007 SIAM J. Sci. Comput. 43, No. 2, A929-A952 (2021). MSC: 35L65 35Q35 35R60 65M60 65M70 PDF BibTeX XML Cite \textit{D. Dai} et al., SIAM J. Sci. Comput. 43, No. 2, A929--A952 (2021; Zbl 07331007) Full Text: DOI
Bhauryal, Neeraj; Koley, Ujjwal; Vallet, Guy A fractional degenerate parabolic-hyperbolic Cauchy problem with noise. (English) Zbl 07330807 J. Differ. Equations 284, 433-521 (2021). MSC: 35R11 35R09 35R60 35L65 PDF BibTeX XML Cite \textit{N. Bhauryal} et al., J. Differ. Equations 284, 433--521 (2021; Zbl 07330807) Full Text: DOI
Yang, Xue; Zhang, Jing Systems of reflected stochastic PDEs in a convex domain: analytical approach. (English) Zbl 07330805 J. Differ. Equations 284, 350-373 (2021). MSC: 60H15 35R60 31B15 60J45 PDF BibTeX XML Cite \textit{X. Yang} and \textit{J. Zhang}, J. Differ. Equations 284, 350--373 (2021; Zbl 07330805) Full Text: DOI
Cornalba, Federico; Shardlow, Tony; Zimmer, Johannes Well-posedness for a regularised inertial Dean-Kawasaki model for slender particles in several space dimensions. (English) Zbl 07330802 J. Differ. Equations 284, 253-283 (2021). MSC: 60H15 35R60 PDF BibTeX XML Cite \textit{F. Cornalba} et al., J. Differ. Equations 284, 253--283 (2021; Zbl 07330802) Full Text: DOI
Ha, Seung-Yeal; Jung, Jinwook; Röckner, Michael Collective stochastic dynamics of the Cucker-Smale ensemble under uncertain communication. (English) Zbl 07330795 J. Differ. Equations 284, 39-82 (2021). MSC: 35Q82 82C40 35Q92 92C15 35R60 60H40 35D35 35B40 PDF BibTeX XML Cite \textit{S.-Y. Ha} et al., J. Differ. Equations 284, 39--82 (2021; Zbl 07330795) Full Text: DOI
Omari, Dareen On statistical properties of nonlinear functionals of random fields. (Abstract of thesis). (English) Zbl 07330725 Bull. Aust. Math. Soc. 103, No. 2, 338-340 (2021). MSC: 60G60 35R01 60F17 62L20 PDF BibTeX XML Cite \textit{D. Omari}, Bull. Aust. Math. Soc. 103, No. 2, 338--340 (2021; Zbl 07330725) Full Text: DOI
Yuan, Ganghua Inverse problems for stochastic parabolic equations with additive noise. (English) Zbl 07330230 J. Inverse Ill-Posed Probl. 29, No. 1, 93-108 (2021). MSC: 60H15 PDF BibTeX XML Cite \textit{G. Yuan}, J. Inverse Ill-Posed Probl. 29, No. 1, 93--108 (2021; Zbl 07330230) Full Text: DOI
Foondun, Mohammud Remarks on a fractional-time stochastic equation. (English) Zbl 07329506 Proc. Am. Math. Soc. 149, No. 5, 2235-2247 (2021). MSC: 60H15 PDF BibTeX XML Cite \textit{M. Foondun}, Proc. Am. Math. Soc. 149, No. 5, 2235--2247 (2021; Zbl 07329506) Full Text: DOI
Dabrock, Nils; Hofmanová, Martina; Röger, Matthias Existence of martingale solutions and large-time behavior for a stochastic mean curvature flow of graphs. (English) Zbl 07329441 Probab. Theory Relat. Fields 179, No. 1-2, 407-449 (2021). MSC: 60H15 60H30 53C44 PDF BibTeX XML Cite \textit{N. Dabrock} et al., Probab. Theory Relat. Fields 179, No. 1--2, 407--449 (2021; Zbl 07329441) Full Text: DOI
Jorgensen, Palle; Tian, James Reproducing kernels: harmonic analysis and some of their applications. (English) Zbl 07328475 Appl. Comput. Harmon. Anal. 52, 279-302 (2021). MSC: 47L60 46N30 46N50 42C15 65R10 31C20 62D05 94A20 39A12 46N20 22E70 31A15 58J65 PDF BibTeX XML Cite \textit{P. Jorgensen} and \textit{J. Tian}, Appl. Comput. Harmon. Anal. 52, 279--302 (2021; Zbl 07328475) Full Text: DOI
Bruned, Yvain; Chandra, Ajay; Chevyrev, Ilya; Hairer, Martin Renormalising SPDEs in regularity structures. (English) Zbl 07328126 J. Eur. Math. Soc. (JEMS) 23, No. 3, 869-947 (2021). MSC: 60H15 16T05 PDF BibTeX XML Cite \textit{Y. Bruned} et al., J. Eur. Math. Soc. (JEMS) 23, No. 3, 869--947 (2021; Zbl 07328126) Full Text: DOI
Bauerschmidt, Roland; Crawford, Nicholas; Helmuth, Tyler; Swan, Andrew Random spanning forests and hyperbolic symmetry. (English) Zbl 07327493 Commun. Math. Phys. 381, No. 3, 1223-1261 (2021). MSC: 60H 35D 35R 82B 81Q 60H15 35R60 81Q60 82B44 35D30 PDF BibTeX XML Cite \textit{R. Bauerschmidt} et al., Commun. Math. Phys. 381, No. 3, 1223--1261 (2021; Zbl 07327493) Full Text: DOI
Xia, Yifan; Hou, Yongchao; Lv, Shaogao Learning rates for partially linear support vector machine in high dimensions. (English) Zbl 07327482 Anal. Appl., Singap. 19, No. 1, 167-182 (2021). MSC: 68Q32 41A25 41A46 35R60 PDF BibTeX XML Cite \textit{Y. Xia} et al., Anal. Appl., Singap. 19, No. 1, 167--182 (2021; Zbl 07327482) Full Text: DOI
Anop, Anna; Denk, Robert; Murach, Aleksandr Elliptic problems with rough boundary data in generalized Sobolev spaces. (English) Zbl 07327300 Commun. Pure Appl. Anal. 20, No. 2, 697-735 (2021). MSC: 35J40 35R60 46E35 60H40 PDF BibTeX XML Cite \textit{A. Anop} et al., Commun. Pure Appl. Anal. 20, No. 2, 697--735 (2021; Zbl 07327300) Full Text: DOI
Dinh, Van Duong Random data theory for the cubic fourth-order nonlinear Schrödinger equation. (English) Zbl 07327298 Commun. Pure Appl. Anal. 20, No. 2, 651-680 (2021). MSC: 35Q55 35Q41 35A01 35A02 35R60 PDF BibTeX XML Cite \textit{V. D. Dinh}, Commun. Pure Appl. Anal. 20, No. 2, 651--680 (2021; Zbl 07327298) Full Text: DOI
Zhao, Wenqiang; Zhang, Yijin High-order Wong-Zakai approximations for non-autonomous stochastic \(p\)-Laplacian equations on \(\mathbb{R}^N\). (English) Zbl 07327279 Commun. Pure Appl. Anal. 20, No. 1, 243-280 (2021). MSC: 35R60 35B40 35B41 35B65 35K15 35K92 60H15 PDF BibTeX XML Cite \textit{W. Zhao} and \textit{Y. Zhang}, Commun. Pure Appl. Anal. 20, No. 1, 243--280 (2021; Zbl 07327279) Full Text: DOI
Chen, Pengyu; Zhang, Xuping Existence of attractors for stochastic diffusion equations with fractional damping and time-varying delay. (English) Zbl 07326365 J. Math. Phys. 62, No. 2, 022705, 23 p. (2021). MSC: 35B41 35R11 35K15 35K58 35R60 PDF BibTeX XML Cite \textit{P. Chen} and \textit{X. Zhang}, J. Math. Phys. 62, No. 2, 022705, 23 p. (2021; Zbl 07326365) Full Text: DOI
Wu, Jinbiao Stochastic viscosity solutions for stochastic integral-partial differential equations. (English) Zbl 07326341 J. Math. Phys. 62, No. 2, 021501, 23 p. (2021). MSC: 35D40 35R60 35R09 PDF BibTeX XML Cite \textit{J. Wu}, J. Math. Phys. 62, No. 2, 021501, 23 p. (2021; Zbl 07326341) Full Text: DOI
Fischer, Julian; Gallistl, Dietmar; Peterseim, Daniel A priori error analysis of a numerical stochastic homogenization method. (English) Zbl 07326332 SIAM J. Numer. Anal. 59, No. 2, 660-674 (2021). MSC: 65N12 35R60 65N15 65N30 74Q05 PDF BibTeX XML Cite \textit{J. Fischer} et al., SIAM J. Numer. Anal. 59, No. 2, 660--674 (2021; Zbl 07326332) Full Text: DOI
Schlachter, Louisa Stochastic Galerkin methods in hyperbolic equations. (English) Zbl 07326171 Mathematik. München: Dr. Hut; Kaiserslautern: TU Kaiserslautern (Diss.) (ISBN 978-3-8439-4731-2/pbk). 153 p. (2021). MSC: 65-02 35-02 65M75 65M60 65C30 35Lxx PDF BibTeX XML Cite \textit{L. Schlachter}, Stochastic Galerkin methods in hyperbolic equations. München: Dr. Hut; Kaiserslautern: TU Kaiserslautern (Diss.) (2021; Zbl 07326171)
Yan, Zuomao; Yan, Xingxue Optimal controls for impulsive partial stochastic differential equations with weighted pseudo almost periodic coefficients. (English) Zbl 07325659 Int. J. Control 94, No. 1, 111-133 (2021). MSC: 49N25 35R60 49K45 60H15 35B15 43A60 PDF BibTeX XML Cite \textit{Z. Yan} and \textit{X. Yan}, Int. J. Control 94, No. 1, 111--133 (2021; Zbl 07325659) Full Text: DOI
Seeger, Benjamin Scaling limits and homogenization of mixing Hamilton-Jacobi equations. (English) Zbl 07324457 Commun. Partial Differ. Equations 46, No. 1, 165-199 (2021). MSC: 35B27 35F21 35R60 60H15 35D40 PDF BibTeX XML Cite \textit{B. Seeger}, Commun. Partial Differ. Equations 46, No. 1, 165--199 (2021; Zbl 07324457) Full Text: DOI
Scarpa, Luca; Stefanelli, Ulisse Stochastic PDEs via convex minimization. (English) Zbl 07324454 Commun. Partial Differ. Equations 46, No. 1, 66-97 (2021). MSC: 35R60 35A15 35K55 49J27 PDF BibTeX XML Cite \textit{L. Scarpa} and \textit{U. Stefanelli}, Commun. Partial Differ. Equations 46, No. 1, 66--97 (2021; Zbl 07324454) Full Text: DOI
Hyder, Abd-Allah; Soliman, Ahmed H. An extended Kudryashov technique for solving stochastic nonlinear models with generalized conformable derivatives. (English) Zbl 07323673 Commun. Nonlinear Sci. Numer. Simul. 97, Article ID 105730, 14 p. (2021). MSC: 60 26A33 35Q53 60H15 65M70 PDF BibTeX XML Cite \textit{A.-A. Hyder} and \textit{A. H. Soliman}, Commun. Nonlinear Sci. Numer. Simul. 97, Article ID 105730, 14 p. (2021; Zbl 07323673) Full Text: DOI
Gong, Yuxuan; Li, Peijun; Wang, Xu; Xu, Xiang Numerical solution of an inverse random source problem for the time fractional diffusion equation via phaselift. (English) Zbl 07323237 Inverse Probl. 37, No. 4, Article ID 045001, 23 p. (2021). MSC: 65M32 65T50 49M37 90C25 35R11 35R60 60G60 35A01 35A02 PDF BibTeX XML Cite \textit{Y. Gong} et al., Inverse Probl. 37, No. 4, Article ID 045001, 23 p. (2021; Zbl 07323237) Full Text: DOI
Ding, Xiaojie; Qiao, Huijie Stability for stochastic McKean-Vlasov equations with non-Lipschitz coefficients. (English) Zbl 07319570 SIAM J. Control Optim. 59, No. 2, 887-905 (2021). MSC: 60H15 PDF BibTeX XML Cite \textit{X. Ding} and \textit{H. Qiao}, SIAM J. Control Optim. 59, No. 2, 887--905 (2021; Zbl 07319570) Full Text: DOI
Tadić, Vladislav Z. B.; Doucet, Arnaud Bias of particle approximations to optimal filter derivative. (English) Zbl 07319564 SIAM J. Control Optim. 59, No. 1, 727-748 (2021). MSC: 93E11 93C20 PDF BibTeX XML Cite \textit{V. Z. B. Tadić} and \textit{A. Doucet}, SIAM J. Control Optim. 59, No. 1, 727--748 (2021; Zbl 07319564) Full Text: DOI
Barbu, Viorel The controllability of Fokker-Planck equations with reflecting boundary conditions and controllers in diffusion term. (English) Zbl 07319563 SIAM J. Control Optim. 59, No. 1, 709-726 (2021). MSC: 93B05 93C20 35Q84 60H15 93B52 PDF BibTeX XML Cite \textit{V. Barbu}, SIAM J. Control Optim. 59, No. 1, 709--726 (2021; Zbl 07319563) Full Text: DOI
Wang, Xiaohu; Shen, Jun; Lu, Kening; Wang, Bixiang Wong-Zakai approximations and random attractors for non-autonomous stochastic lattice systems. (English) Zbl 07319440 J. Differ. Equations 280, 477-516 (2021). MSC: 37L55 37L30 37L60 60H15 74N20 82C26 PDF BibTeX XML Cite \textit{X. Wang} et al., J. Differ. Equations 280, 477--516 (2021; Zbl 07319440) Full Text: DOI
Feldman, William M.; Fermanian, Jean-Baptiste; Ziliotto, Bruno An example of failure of stochastic homogenization for viscous Hamilton-Jacobi equations without convexity. (English) Zbl 07319439 J. Differ. Equations 280, 464-476 (2021). MSC: 35B27 35R60 35F21 60K35 PDF BibTeX XML Cite \textit{W. M. Feldman} et al., J. Differ. Equations 280, 464--476 (2021; Zbl 07319439) Full Text: DOI
Kaikina, Elena Igorevna; Sotelo-Garcia, N. Stochastic nonlinear Schrödinger equation with Brown-noise boundary conditions of mixed type. (English) Zbl 07319437 J. Differ. Equations 280, 405-434 (2021). MSC: 35Q41 60H15 60H07 35B65 35A01 35A02 35R60 PDF BibTeX XML Cite \textit{E. I. Kaikina} and \textit{N. Sotelo-Garcia}, J. Differ. Equations 280, 405--434 (2021; Zbl 07319437) Full Text: DOI
Nguyen, Nhu N.; Yin, George Stochastic Lotka-Volterra competitive reaction-diffusion systems perturbed by space-time white noise: modeling and analysis. (English) Zbl 07319395 J. Differ. Equations 282, 184-232 (2021). MSC: 60H15 60H30 60H40 92D15 92D25 92D40 35K57 PDF BibTeX XML Cite \textit{N. N. Nguyen} and \textit{G. Yin}, J. Differ. Equations 282, 184--232 (2021; Zbl 07319395) Full Text: DOI
Achdou, Yves; Laurière, Mathieu; Lions, Pierre-Louis Optimal control of conditioned processes with feedback controls. (English. French summary) Zbl 07319317 J. Math. Pures Appl. (9) 148, 308-341 (2021). MSC: 93E20 93B52 93B60 49K20 PDF BibTeX XML Cite \textit{Y. Achdou} et al., J. Math. Pures Appl. (9) 148, 308--341 (2021; Zbl 07319317) Full Text: DOI
Fehrman, Benjamin; Gess, Benjamin Path-by-path well-posedness of nonlinear diffusion equations with multiplicative noise. (English. French summary) Zbl 07319315 J. Math. Pures Appl. (9) 148, 221-266 (2021). MSC: 37L55 60H15 60L50 PDF BibTeX XML Cite \textit{B. Fehrman} and \textit{B. Gess}, J. Math. Pures Appl. (9) 148, 221--266 (2021; Zbl 07319315) Full Text: DOI
Huan, Diem Dang; Agarwal, Ravi P. Controllability for impulsive neutral stochastic delay partial differential equations driven by fBm and Lévy noise. (English) Zbl 07318773 Stoch. Dyn. 21, No. 2, Article ID 2150013, 24 p. (2021). MSC: 35R60 35R12 93B05 35B35 39B82 93E03 60H15 PDF BibTeX XML Cite \textit{D. D. Huan} and \textit{R. P. Agarwal}, Stoch. Dyn. 21, No. 2, Article ID 2150013, 24 p. (2021; Zbl 07318773) Full Text: DOI
Araya, Héctor; Tudor, Ciprian A. Asymptotic expansion for the quadratic variations of the solution to the heat equation with additive white noise. (English) Zbl 07318771 Stoch. Dyn. 21, No. 2, Article ID 2150010, 23 p. (2021). MSC: 62L12 60F05 60H15 60H40 35K05 PDF BibTeX XML Cite \textit{H. Araya} and \textit{C. A. Tudor}, Stoch. Dyn. 21, No. 2, Article ID 2150010, 23 p. (2021; Zbl 07318771) Full Text: DOI
de Nascimento, Jorge A.; Ohashi, Alberto Existence of densities for stochastic evolution equations driven by fractional Brownian motion. (English) Zbl 07318770 Stoch. Dyn. 21, No. 2, Article ID 2150009, 55 p. (2021). MSC: 60H07 60H15 PDF BibTeX XML Cite \textit{J. A. de Nascimento} and \textit{A. Ohashi}, Stoch. Dyn. 21, No. 2, Article ID 2150009, 55 p. (2021; Zbl 07318770) Full Text: DOI
Deugoue, Gabriel; Moghomye, Boris Jidjou; Medjo, Theodore Tachim Splitting-up scheme for the stochastic Cahn-Hilliard Navier-Stokes model. (English) Zbl 07318766 Stoch. Dyn. 21, No. 1, Article ID 2150005, 46 p. (2021). MSC: 35R60 35Q35 60H15 76M35 86A05 PDF BibTeX XML Cite \textit{G. Deugoue} et al., Stoch. Dyn. 21, No. 1, Article ID 2150005, 46 p. (2021; Zbl 07318766) Full Text: DOI
Wang, Hanxiao Extended backward stochastic Volterra integral equations, quasilinear parabolic equations, and Feynman-Kac formula. (English) Zbl 07318765 Stoch. Dyn. 21, No. 1, Article ID 2150004, 37 p. (2021). MSC: 60H20 45D05 35K40 35K59 PDF BibTeX XML Cite \textit{H. Wang}, Stoch. Dyn. 21, No. 1, Article ID 2150004, 37 p. (2021; Zbl 07318765) Full Text: DOI
Mishura, Yuliya; Ralchenko, Kostiantyn; Zili, Mounir; Zougar, Eya Fractional stochastic heat equation with piecewise constant coefficients. (English) Zbl 07318763 Stoch. Dyn. 21, No. 1, Article ID 2150002, 39 p. (2021). MSC: 60G22 60H15 35R60 PDF BibTeX XML Cite \textit{Y. Mishura} et al., Stoch. Dyn. 21, No. 1, Article ID 2150002, 39 p. (2021; Zbl 07318763) Full Text: DOI
Fatheddin, Parisa The law of the iterated logarithm for a class of SPDEs. (English) Zbl 07316864 Stochastic Anal. Appl. 39, No. 1, 113-135 (2021). MSC: 60H15 60F10 60J68 PDF BibTeX XML Cite \textit{P. Fatheddin}, Stochastic Anal. Appl. 39, No. 1, 113--135 (2021; Zbl 07316864) Full Text: DOI
Ji, Shaolin; Yang, Shuzhen Non-Markovian fully coupled forward-backward stochastic systems and classical solutions of path-dependent PDES. (English) Zbl 07316863 Stochastic Anal. Appl. 39, No. 1, 91-112 (2021). MSC: 60H15 35R60 60H30 PDF BibTeX XML Cite \textit{S. Ji} and \textit{S. Yang}, Stochastic Anal. Appl. 39, No. 1, 91--112 (2021; Zbl 07316863) Full Text: DOI
Zhang, Hua Exponential ergodicity for non-Lipschitz white noise driven parabolic stochastic partial differential equations with two reflecting walls. (English) Zbl 07316861 Stochastic Anal. Appl. 39, No. 1, 33-54 (2021). MSC: 60 PDF BibTeX XML Cite \textit{H. Zhang}, Stochastic Anal. Appl. 39, No. 1, 33--54 (2021; Zbl 07316861) Full Text: DOI
Jornet, Marc Modeling of Allee effect in biofilm formation via the stochastic bistable Allen-Cahn partial differential equation. (English) Zbl 07316860 Stochastic Anal. Appl. 39, No. 1, 22-32 (2021). MSC: 35R60 60H15 65C20 92D25 PDF BibTeX XML Cite \textit{M. Jornet}, Stochastic Anal. Appl. 39, No. 1, 22--32 (2021; Zbl 07316860) Full Text: DOI
Mohammed, Wael W.; Blömker, Dirk Fast-diffusion limit for reaction-diffusion equations with multiplicative noise. (English) Zbl 07316426 J. Math. Anal. Appl. 496, No. 2, Article ID 124808, 20 p. (2021). MSC: 35B35 35R60 PDF BibTeX XML Cite \textit{W. W. Mohammed} and \textit{D. Blömker}, J. Math. Anal. Appl. 496, No. 2, Article ID 124808, 20 p. (2021; Zbl 07316426) Full Text: DOI
Vallet, Guy; Zimmermann, Aleksandra Well-posedness for nonlinear SPDEs with strongly continuous perturbation. (English) Zbl 07316400 Proc. R. Soc. Edinb., Sect. A, Math. 151, No. 1, 265-295 (2021). MSC: 60H15 35K92 35K55 PDF BibTeX XML Cite \textit{G. Vallet} and \textit{A. Zimmermann}, Proc. R. Soc. Edinb., Sect. A, Math. 151, No. 1, 265--295 (2021; Zbl 07316400) Full Text: DOI
Goudenège, Ludovic; Manca, Luigi Stochastic phase field \(\alpha \)-Navier-Stokes vesicle-fluid interaction model. (English) Zbl 07316116 J. Math. Anal. Appl. 496, No. 1, Article ID 124805, 40 p. (2021). MSC: 35Q35 74 PDF BibTeX XML Cite \textit{L. Goudenège} and \textit{L. Manca}, J. Math. Anal. Appl. 496, No. 1, Article ID 124805, 40 p. (2021; Zbl 07316116) Full Text: DOI
Mei, Hongwei; Wei, Qingmeng; Yong, Jiongmin Optimal ergodic control of linear stochastic differential equations with quadratic cost functionals having indefinite weights. (English) Zbl 07315935 SIAM J. Control Optim. 59, No. 1, 584-613 (2021). MSC: 93E20 93C20 49N10 60F17 PDF BibTeX XML Cite \textit{H. Mei} et al., SIAM J. Control Optim. 59, No. 1, 584--613 (2021; Zbl 07315935) Full Text: DOI
You, Bo Well-posedness for the three dimensional stochastic planetary geostrophic equations of large-scale ocean circulation. (English) Zbl 07314923 Discrete Contin. Dyn. Syst. 41, No. 4, 1579-1604 (2021). MSC: 35Q86 86A05 76U60 35R60 37L55 60H30 35B41 35D30 35A01 35A02 PDF BibTeX XML Cite \textit{B. You}, Discrete Contin. Dyn. Syst. 41, No. 4, 1579--1604 (2021; Zbl 07314923) Full Text: DOI
Frikha, Noufel; Konakov, Valentin; Menozzi, Stéphane Well-posedness of some non-linear stable driven SDEs. (English) Zbl 07314366 Discrete Contin. Dyn. Syst. 41, No. 2, 849-898 (2021). MSC: 60H10 60G46 60H30 35R09 PDF BibTeX XML Cite \textit{N. Frikha} et al., Discrete Contin. Dyn. Syst. 41, No. 2, 849--898 (2021; Zbl 07314366) Full Text: DOI
Zambotti, Lorenzo A brief and personal history of stochastic partial differential equations. (English) Zbl 07314173 Discrete Contin. Dyn. Syst. 41, No. 1, 471-487 (2021). Reviewer: Andrea Bréard (Orsay) MSC: 60H15 60-03 PDF BibTeX XML Cite \textit{L. Zambotti}, Discrete Contin. Dyn. Syst. 41, No. 1, 471--487 (2021; Zbl 07314173) Full Text: DOI
Huang, Xing; Song, Yulin Well-posedness and regularity for distribution dependent SPDEs with singular drifts. (English) Zbl 07312791 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 203, Article ID 112167, 19 p. (2021). MSC: 60H15 60B10 PDF BibTeX XML Cite \textit{X. Huang} and \textit{Y. Song}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 203, Article ID 112167, 19 p. (2021; Zbl 07312791) Full Text: DOI
Barrasso, Adrien; Russo, Francesco Martingale driven BSDEs, PDEs and other related deterministic problems. (English) Zbl 07312689 Stochastic Processes Appl. 133, 193-228 (2021). MSC: 60H30 60H10 35S05 60J35 60J60 60J75 PDF BibTeX XML Cite \textit{A. Barrasso} and \textit{F. Russo}, Stochastic Processes Appl. 133, 193--228 (2021; Zbl 07312689) Full Text: DOI
Denis, Laurent; Matoussi, Anis; Zhang, Jing Quasilinear stochastic PDEs with two obstacles: probabilistic approach. (English) Zbl 07312683 Stochastic Processes Appl. 133, 1-40 (2021). Reviewer: Wei Liu (Xuzhou) MSC: 60H15 35R60 31B15 PDF BibTeX XML Cite \textit{L. Denis} et al., Stochastic Processes Appl. 133, 1--40 (2021; Zbl 07312683) Full Text: DOI
Frikha, Noufel; Li, Libo Well-posedness and approximation of some one-dimensional Lévy-driven non-linear SDEs. (English) Zbl 07312675 Stochastic Processes Appl. 132, 76-107 (2021). MSC: 60H10 60G46 60H30 35R09 PDF BibTeX XML Cite \textit{N. Frikha} and \textit{L. Li}, Stochastic Processes Appl. 132, 76--107 (2021; Zbl 07312675) Full Text: DOI
Li, Dingshi; Wang, Xuemin Regular random attractors for non-autonomous stochastic reaction-diffusion equations on thin domains. (English) Zbl 07311264 Electron Res. Arch. 29, No. 2, 1969-1990 (2021). MSC: 37L55 37L30 37H30 35R60 35K57 35B40 PDF BibTeX XML Cite \textit{D. Li} and \textit{X. Wang}, Electron Res. Arch. 29, No. 2, 1969--1990 (2021; Zbl 07311264) Full Text: DOI
Khan, Feroz Higher order pathwise approximation for the stochastic Burgers’ equation with additive noise. (English) Zbl 07311179 Appl. Numer. Math. 162, 67-80 (2021). MSC: 60 PDF BibTeX XML Cite \textit{F. Khan}, Appl. Numer. Math. 162, 67--80 (2021; Zbl 07311179) Full Text: DOI
Basu, Riddhipratim; Ganguly, Shirshendu; Hammond, Alan Fractal geometry of \(\text{Airy}_2\) processes coupled via the Airy sheet. (English) Zbl 07310797 Ann. Probab. 49, No. 1, 485-505 (2021). MSC: 82B43 82D60 60K35 60H15 28A80 60J65 PDF BibTeX XML Cite \textit{R. Basu} et al., Ann. Probab. 49, No. 1, 485--505 (2021; Zbl 07310797) Full Text: DOI Euclid
Cannizzaro, Giuseppe; Erhard, Dirk; Schönbauer, Philipp 2D anisotropic KPZ at stationarity: scaling, tightness and nontriviality. (English) Zbl 07310788 Ann. Probab. 49, No. 1, 122-156 (2021). MSC: 60H40 35R60 60F17 PDF BibTeX XML Cite \textit{G. Cannizzaro} et al., Ann. Probab. 49, No. 1, 122--156 (2021; Zbl 07310788) Full Text: DOI Euclid
Emzir, Muhammad; Lasanen, Sari; Purisha, Zenith; Roininen, Lassi; Särkkä, Simo Non-stationary multi-layered Gaussian priors for Bayesian inversion. (English) Zbl 07310607 Inverse Probl. 37, No. 1, Article ID 015002, 26 p. (2021). MSC: 60H15 62M99 PDF BibTeX XML Cite \textit{M. Emzir} et al., Inverse Probl. 37, No. 1, Article ID 015002, 26 p. (2021; Zbl 07310607) Full Text: DOI
Arezoomandan, Mahdieh; Soheili, Ali R. Spectral collocation method for stochastic partial differential equations with fractional Brownian motion. (English) Zbl 07309622 J. Comput. Appl. Math. 389, Article ID 113369, 19 p. (2021). MSC: 65C30 60H35 60H15 PDF BibTeX XML Cite \textit{M. Arezoomandan} and \textit{A. R. Soheili}, J. Comput. Appl. Math. 389, Article ID 113369, 19 p. (2021; Zbl 07309622) Full Text: DOI
Lin, Hsin-Yi; Fagan, William F.; Jabin, Pierre-Emmanuel Memory-driven movement model for periodic migrations. (English) Zbl 07309187 J. Theor. Biol. 508, Article ID 110486, 8 p. (2021). MSC: 92D50 35Q92 35R60 PDF BibTeX XML Cite \textit{H.-Y. Lin} et al., J. Theor. Biol. 508, Article ID 110486, 8 p. (2021; Zbl 07309187) Full Text: DOI
Muthsam, Herbert J. Book review of: D. Breit et al., Stochastically forced compressible fluid flows. (English) Zbl 1455.00017 Monatsh. Math. 194, No. 2, 460 (2021). MSC: 00A17 76-02 76N10 76M35 35Q30 35R60 PDF BibTeX XML Cite \textit{H. J. Muthsam}, Monatsh. Math. 194, No. 2, 460 (2021; Zbl 1455.00017) Full Text: DOI
Tleubergenov, M. I.; Azhymbaev, D. T. On the solvability of stochastic Helmholtz problem. (English. Russian original) Zbl 07308660 J. Math. Sci., New York 253, No. 2, 297-305 (2021); translation from Neliniĭni Kolyvannya 22, No. 3, 398-405 (2019). MSC: 34F05 60H15 70L05 PDF BibTeX XML Full Text: DOI
Ganesh, M.; Kuo, Frances Y.; Sloan, Ian H. Quasi-Monte Carlo finite element analysis for wave propagation in heterogeneous random media. (English) Zbl 07307679 SIAM/ASA J. Uncertain. Quantif. 9, 106-134 (2021). MSC: 65C30 65C05 65N30 35J05 35R60 PDF BibTeX XML Cite \textit{M. Ganesh} et al., SIAM/ASA J. Uncertain. Quantif. 9, 106--134 (2021; Zbl 07307679) Full Text: DOI
Koley, Ujjwal; Ray, Deep; Sarkar, Tanmay Multilevel Monte Carlo finite difference methods for fractional conservation laws with random data. (English) Zbl 07307678 SIAM/ASA J. Uncertain. Quantif. 9, 65-105 (2021). MSC: 65M06 65C05 65M12 35L65 35R11 35R60 PDF BibTeX XML Cite \textit{U. Koley} et al., SIAM/ASA J. Uncertain. Quantif. 9, 65--105 (2021; Zbl 07307678) Full Text: DOI
Mohammed, Wael W. Fast-diffusion limit for reaction-diffusion equations with degenerate multiplicative and additive noise. (English) Zbl 07307374 J. Dyn. Differ. Equations 33, No. 1, 577-592 (2021). MSC: 60H10 60H15 35R60 PDF BibTeX XML Cite \textit{W. W. Mohammed}, J. Dyn. Differ. Equations 33, No. 1, 577--592 (2021; Zbl 07307374) Full Text: DOI
Phan, Chi; You, Yuncheng Random attractor for stochastic Hindmarsh-Rose equations with additive noise. (English) Zbl 07307370 J. Dyn. Differ. Equations 33, No. 1, 489-510 (2021). MSC: 35R60 35B41 35K55 37L30 37L55 37N25 60H15 92B20 PDF BibTeX XML Cite \textit{C. Phan} and \textit{Y. You}, J. Dyn. Differ. Equations 33, No. 1, 489--510 (2021; Zbl 07307370) Full Text: DOI
Huang, Hai; Fu, Xianlong Asymptotic properties of solutions for impulsive neutral stochastic functional integro-differential equations. (English) Zbl 07306534 J. Math. Phys. 62, No. 1, 013301, 18 p. (2021). MSC: 45 35R10 35R60 PDF BibTeX XML Cite \textit{H. Huang} and \textit{X. Fu}, J. Math. Phys. 62, No. 1, 013301, 18 p. (2021; Zbl 07306534) Full Text: DOI
Kosmala, Tomasz; Riedle, Markus Stochastic integration with respect to cylindrical Lévy processes by \(p\)-summing operators. (English) Zbl 07306271 J. Theor. Probab. 34, No. 1, 477-497 (2021). MSC: 47B10 60G51 46T12 60H15 PDF BibTeX XML Cite \textit{T. Kosmala} and \textit{M. Riedle}, J. Theor. Probab. 34, No. 1, 477--497 (2021; Zbl 07306271) Full Text: DOI
Yokoyama, Satoshi A stochastically perturbed mean curvature flow by colored noise. (English) Zbl 07306260 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 07306260) Full Text: DOI
Mongolian, Suriguga; Kao, Yonggui; Wang, Changhong; Xia, Hongwei Robust mean square stability of delayed stochastic generalized uncertain impulsive reaction-diffusion neural networks. (English) Zbl 1455.93149 J. Franklin Inst. 358, No. 1, 877-894 (2021). MSC: 93D09 93E15 93B70 93C27 93C20 PDF BibTeX XML Cite \textit{S. Mongolian} et al., J. Franklin Inst. 358, No. 1, 877--894 (2021; Zbl 1455.93149) Full Text: DOI
Garreis, Sebastian; Surowiec, Thomas M.; Ulbrich, Michael An interior-point approach for solving risk-averse PDE-constrained optimization problems with coherent risk measures. (English) Zbl 07305920 SIAM J. Optim. 31, No. 1, 1-29 (2021). MSC: 49J20 49J50 49J55 49K20 49K45 90C15 PDF BibTeX XML Cite \textit{S. Garreis} et al., SIAM J. Optim. 31, No. 1, 1--29 (2021; Zbl 07305920) Full Text: DOI
Yamazaki, Kazuo A note on the applications of Wick products and Feynman diagrams in the study of singular partial differential equations. (English) Zbl 07305241 J. Comput. Appl. Math. 388, Article ID 113338, 16 p. (2021). MSC: 35R60 35B65 35Q35 PDF BibTeX XML Cite \textit{K. Yamazaki}, J. Comput. Appl. Math. 388, Article ID 113338, 16 p. (2021; Zbl 07305241) Full Text: DOI
Kulikov, G. Yu.; Lima, Pedro M.; Kulikova, Maria V. Numerical solution of the neural field equation in the presence of random disturbance. (English) Zbl 07305193 J. Comput. Appl. Math. 387, Article ID 112563, 16 p. (2021). MSC: 65C30 35R60 PDF BibTeX XML Cite \textit{G. Yu. Kulikov} et al., J. Comput. Appl. Math. 387, Article ID 112563, 16 p. (2021; Zbl 07305193) Full Text: DOI
Yang, Xu; Zhao, Weidong Strongly convergent error analysis for a spatially semidiscrete approximation of stochastic partial differential equations with non-globally Lipschitz continuous coefficients. (English) Zbl 07305067 J. Comput. Appl. Math. 384, Article ID 113173, 13 p. (2021). MSC: 65C30 60H15 60H35 65M60 PDF BibTeX XML Cite \textit{X. Yang} and \textit{W. Zhao}, J. Comput. Appl. Math. 384, Article ID 113173, 13 p. (2021; Zbl 07305067) Full Text: DOI
Geiersbach, Caroline; Loayza-Romero, Estefania; Welker, Kathrin Stochastic approximation for optimization in shape spaces. (English) Zbl 07304308 SIAM J. Optim. 31, No. 1, 348-376 (2021). Reviewer: Antoine Henrot (Vandœuvre-lès-Nancy) MSC: 49Q10 35R60 60H15 60H30 60H35 35R15 PDF BibTeX XML Cite \textit{C. Geiersbach} et al., SIAM J. Optim. 31, No. 1, 348--376 (2021; Zbl 07304308) Full Text: DOI
Hocquet, Antoine; Nilssen, Torstein An Itô formula for rough partial differential equations and some applications. (English) Zbl 07303866 Potential Anal. 54, No. 2, 331-386 (2021). MSC: 60L50 60H15 35A15 35B50 35D30 PDF BibTeX XML Cite \textit{A. Hocquet} and \textit{T. Nilssen}, Potential Anal. 54, No. 2, 331--386 (2021; Zbl 07303866) Full Text: DOI
Benoist, T.; Fraas, M.; Pautrat, Y.; Pellegrini, C. Invariant measure for stochastic Schrödinger equations. (English) Zbl 07303658 Ann. Henri Poincaré 22, No. 2, 347-374 (2021). MSC: 81S25 81Q05 35R60 35Q55 37C40 37A05 81P20 PDF BibTeX XML Cite \textit{T. Benoist} et al., Ann. Henri Poincaré 22, No. 2, 347--374 (2021; Zbl 07303658) Full Text: DOI
Kurasov, Pavel; Mugnolo, Delio; Wolf, Verena Analytic solutions for stochastic hybrid models of gene regulatory networks. (English) Zbl 07303134 J. Math. Biol. 82, No. 1-2, Paper No. 9, 30 p. (2021). Reviewer: Eugene Postnikov (Kursk) MSC: 35Q92 92D10 92D20 92C37 35B09 35R60 47D06 93C20 35F46 PDF BibTeX XML Cite \textit{P. Kurasov} et al., J. Math. Biol. 82, No. 1--2, Paper No. 9, 30 p. (2021; Zbl 07303134) Full Text: DOI
Prakasa Rao, B. L. S. Nonparametric estimation of trend for stochastic differential equations driven by fractional Levy process. (English) Zbl 07302995 J. Stat. Theory Pract. 15, No. 1, Paper No. 7, 12 p. (2021). MSC: 62G07 62M09 60G15 60G22 60G65 60H15 PDF BibTeX XML Cite \textit{B. L. S. Prakasa Rao}, J. Stat. Theory Pract. 15, No. 1, Paper No. 7, 12 p. (2021; Zbl 07302995) Full Text: DOI
Majdoub, Mohamed; Mliki, Ezzedine Well-posedness for Hardy-Hénon parabolic equations with fractional Brownian noise. (English) Zbl 07301482 Anal. Math. Phys. 11, No. 1, Paper No. 20, 12 p. (2021). Reviewer: Manil T. Mohan (Roorkee) MSC: 60H15 60H30 35R60 35K05 60G22 PDF BibTeX XML Cite \textit{M. Majdoub} and \textit{E. Mliki}, Anal. Math. Phys. 11, No. 1, Paper No. 20, 12 p. (2021; Zbl 07301482) Full Text: DOI
Bank, Miriam; Ben-Artzi, Matania; Schonbek, Maria E. Viscous conservation laws in 1D with measure initial data. (English) Zbl 07301466 Q. Appl. Math. 79, No. 1, 103-124 (2021). MSC: 35K15 35K59 35R60 35L65 35B45 PDF BibTeX XML Cite \textit{M. Bank} et al., Q. Appl. Math. 79, No. 1, 103--124 (2021; Zbl 07301466) Full Text: DOI
Gao, Yu; Gao, Yuan; Liu, Jian-Guo Large time behavior, bi-Hamiltonian structure, and kinetic formulation for a complex Burgers equation. (English) Zbl 07301465 Q. Appl. Math. 79, No. 1, 55-102 (2021). MSC: 35B40 35L65 35R60 82B40 15B52 35B09 PDF BibTeX XML Cite \textit{Y. Gao} et al., Q. Appl. Math. 79, No. 1, 55--102 (2021; Zbl 07301465) Full Text: DOI
Rohde, Christian; Tang, Hao On the stochastic Dullin-Gottwald-Holm equation: global existence and wave-breaking phenomena. (English) Zbl 07301273 NoDEA, Nonlinear Differ. Equ. Appl. 28, No. 1, Paper No. 5, 34 p. (2021). MSC: 60H15 35Q51 35A01 35B44 PDF BibTeX XML Cite \textit{C. Rohde} and \textit{H. Tang}, NoDEA, Nonlinear Differ. Equ. Appl. 28, No. 1, Paper No. 5, 34 p. (2021; Zbl 07301273) Full Text: DOI
Tokutome, Kimiki; Yamada, Toshihiro Acceleration of automatic differentiation of solutions to parabolic partial differential equations: a higher order discretization. (English) Zbl 07300815 Numer. Algorithms 86, No. 2, 593-635 (2021). MSC: 65M75 65C20 PDF BibTeX XML Cite \textit{K. Tokutome} and \textit{T. Yamada}, Numer. Algorithms 86, No. 2, 593--635 (2021; Zbl 07300815) Full Text: DOI
Hairer, Martin; Pardoux, Étienne Fluctuations around a homogenised semilinear random PDE. (English) Zbl 07298824 Arch. Ration. Mech. Anal. 239, No. 1, 151-217 (2021). MSC: 35R60 35B27 35K20 35K58 60H05 PDF BibTeX XML Cite \textit{M. Hairer} and \textit{É. Pardoux}, Arch. Ration. Mech. Anal. 239, No. 1, 151--217 (2021; Zbl 07298824) Full Text: DOI
Khan, Arbaz; Bespalov, Alex; Powell, Catherine E.; Silvester, David J. Robust a posteriori error estimation for parameter-dependent linear elasticity equations. (English) Zbl 07298449 Math. Comput. 90, No. 328, 613-636 (2021). MSC: 65N30 65N15 35R60 74B10 35Q74 PDF BibTeX XML Cite \textit{A. Khan} et al., Math. Comput. 90, No. 328, 613--636 (2021; Zbl 07298449) Full Text: DOI
Albeverio, Sergio; Brzeźniak, Zdzisław; Daletskii, Alexei Stochastic Camassa-Holm equation with convection type noise. (English) Zbl 07297755 J. Differ. Equations 276, 404-432 (2021). MSC: 60H15 60H25 35R60 76B15 35Q86 PDF BibTeX XML Cite \textit{S. Albeverio} et al., J. Differ. Equations 276, 404--432 (2021; Zbl 07297755) Full Text: DOI
Hocquet, Antoine Quasilinear rough partial differential equations with transport noise. (English) Zbl 07297745 J. Differ. Equations 276, 43-95 (2021). MSC: 60L50 60L20 35K59 35A15 60H15 PDF BibTeX XML Cite \textit{A. Hocquet}, J. Differ. Equations 276, 43--95 (2021; Zbl 07297745) Full Text: DOI
Li, Xiaojun Uniform random attractors for 2D non-autonomous stochastic Navier-Stokes equations. (English) Zbl 07297744 J. Differ. Equations 276, 1-42 (2021). MSC: 35Q30 35B40 37B55 35B41 35B65 76D05 60J65 37L30 37L05 35R60 PDF BibTeX XML Cite \textit{X. Li}, J. Differ. Equations 276, 1--42 (2021; Zbl 07297744) Full Text: DOI
Wang, Renhai; Wang, Bixiang Random dynamics of non-autonomous fractional stochastic \(p\)-Laplacian equations on \(\mathbb{R}^N\). (English) Zbl 07296638 Banach J. Math. Anal. 15, No. 1, Paper No. 19, 42 p. (2021). MSC: 35R60 35R11 35K93 35K15 35B40 35B41 37L30 PDF BibTeX XML Cite \textit{R. Wang} and \textit{B. Wang}, Banach J. Math. Anal. 15, No. 1, Paper No. 19, 42 p. (2021; Zbl 07296638) Full Text: DOI
Cardaliaguet, Pierre; Forcadel, Nicolas From heterogeneous microscopic traffic flow models to macroscopic models. (English) Zbl 07293734 SIAM J. Math. Anal. 53, No. 1, 309-322 (2021). MSC: 35D40 90B20 35R60 35F20 35F21 PDF BibTeX XML Cite \textit{P. Cardaliaguet} and \textit{N. Forcadel}, SIAM J. Math. Anal. 53, No. 1, 309--322 (2021; Zbl 07293734) Full Text: DOI
Gao, Peng Averaging principle for complex Ginzburg-Landau equation perturbated by mixing random forces. (English) Zbl 07293726 SIAM J. Math. Anal. 53, No. 1, 32-61 (2021). MSC: 35Q56 60H15 35B40 PDF BibTeX XML Cite \textit{P. Gao}, SIAM J. Math. Anal. 53, No. 1, 32--61 (2021; Zbl 07293726) Full Text: DOI
Bogomolov, S. V.; Zakharova, T. V. Boltzmann equation without molecular chaos hypothesis. (Russian. English summary) Zbl 07292293 Mat. Model. 33, No. 1, 3-24 (2021). MSC: 82C31 82C40 35Q20 35Q84 35Q30 35R09 35R60 76N15 82D05 PDF BibTeX XML Cite \textit{S. V. Bogomolov} and \textit{T. V. Zakharova}, Mat. Model. 33, No. 1, 3--24 (2021; Zbl 07292293) Full Text: DOI MNR
Liang, Siyu; Zhang, Ping; Zhu, Rongchan Deterministic and stochastic 2D Navier-Stokes equations with anisotropic viscosity. (English) Zbl 1455.35174 J. Differ. Equations 275, 473-508 (2021). MSC: 35Q30 76D05 35A01 35A02 35D35 35R60 PDF BibTeX XML Cite \textit{S. Liang} et al., J. Differ. Equations 275, 473--508 (2021; Zbl 1455.35174) Full Text: DOI
Deugoué, G.; Ndongmo Ngana, A.; Tachim Medjo, T. Strong solutions for the stochastic Cahn-Hilliard-Navier-Stokes system. (English) Zbl 1455.35306 J. Differ. Equations 275, 27-76 (2021). MSC: 35R60 35Q30 60H15 76M35 86A05 PDF BibTeX XML Cite \textit{G. Deugoué} et al., J. Differ. Equations 275, 27--76 (2021; Zbl 1455.35306) Full Text: DOI
Li, Linyan; Shu, Ji; Bai, Qianqian; Li, Hui Asymptotic behavior of fractional stochastic heat equations in materials with memory. (English) Zbl 07291038 Appl. Anal. 100, No. 1, 145-166 (2021). MSC: 37L55 37L65 37L30 35R60 60H15 PDF BibTeX XML Cite \textit{L. Li} et al., Appl. Anal. 100, No. 1, 145--166 (2021; Zbl 07291038) Full Text: DOI