PUB - Publikationen an der Universität Bielefeld

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• [40]
  

  2025 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 3001624

  L. Banas, B. Gess, and M. Neuss, “Stochastic partial differential equations arising in self-organized criticality”, Annals of Applied Probability, 2025, 35, 481-522.

  PUB | DOI | WoS
   
• [39]
  

  2024 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2994175

  B. Gess, M. Röckner, and W. Wu, “SVI solutions to stochastic nonlinear diffusion equations on general measure spaces”, Journal of Evolution Equations, 2024, 24, : 94.

  PUB | DOI | WoS
   
• [38]
  

  2024 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2992532

  B. Gess, and P. Tsatsoulis, “Lyapunov exponents and synchronisation by noise for systems of SPDEs”, Annals of Probability, 2024, 52, 1903-1953.

  PUB | DOI | WoS
   
• [37]
  

  2024 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2988224

  B. Fehrman, and B. Gess, “Well-Posedness of the Dean-Kawasaki and the Nonlinear Dawson-Watanabe Equation with Correlated Noise”, Archive for Rational Mechanics and Analysis, 2024, 248, : 20.

  PUB | DOI | WoS
   
• [36]
  

  2024 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2987528

  B. Gess, S. Kassing, and V. Konarovskyi, “Stochastic Modified Flows, Mean-Field Limits and Dynamics of Stochastic Gradient Descent”, Journal of Machine Learning Research, 2024, 25, : 30.

  PUB | WoS
   
• [35]
  

  2024 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2986294

  P. Gassiat, B. Gess, P. - L. Lions, and P. E. Souganidis, “Long-time behavior of stochastic Hamilton-Jacobi equations”, Long-time behavior of stochastic Hamilton-Jacobi equations, 2024, 286, : 110269.

  PUB | DOI | WoS
   
• [34]
  

  2023 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2982775

  L. Banas, B. Gess, and C. Vieth, “Numerical approximation of singular-degenerate parabolic stochastic partial differential equations”, IMA Journal of Numerical Analysis , 2023, : drad061.

  PUB | DOI | WoS
   
• [33]
  

  2023 | Zeitschriftenaufsatz | E-Veröff. vor dem Druck | PUB-ID: 2981964

  B. Fehrman, and B. Gess, “Non-equilibrium large deviations and parabolic-hyperbolic PDE with irregular drift”, Inventiones Mathematicae, 2023.

  PUB | DOI | WoS
   
• [32]
  

  2022 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2967869

  S. Bruno, B. Gess, and H. Weber, “Optimal regularity in time and space for stochastic porous medium equations”, Annals of Probability, 2022, 50, 2288-2343.

  PUB | DOI | WoS
   
• [31]
  

  2022 | Zeitschriftenaufsatz | E-Veröff. vor dem Druck | PUB-ID: 2965799

  F. Flandoli, B. Gess, and F. Grotto, “An example of intrinsic randomness in deterministic PDES”, Stochastics and Dynamics, 2022, : 2240023.

  PUB | DOI | WoS
   
• [30]
  

  2022 | Preprint | PUB-ID: 2964704

  B. Gess, R. Gvalani, and V. Konarovskyi, “Conservative SPDEs as fluctuating mean field limits of stochastic gradient descent”, arXiv:2207.05705, 2022.

  PUB | Download (ext.) | arXiv
   
• [29]
  

  2022 | Zeitschriftenaufsatz | E-Veröff. vor dem Druck | PUB-ID: 2963478

  S. Becker, B. Gess, A. Jentzen, and P. E. Kloeden, “Strong convergence rates for explicit space-time discrete numerical approximations of stochastic Allen-Cahn equations”, Stochastics and Partial Differential Equations : Analysis and Computations , 2022.

  PUB | DOI | WoS
   
• [28]
  

  2021 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2958907

  K. Dareiotis, M. Gerencser, and B. Gess, “Porous media equations with multiplicative space-time white noise”, Annales de l'Institut Henri Poincaré (B): Probability and Statistics, 2021, 57, 2354-2371.

  PUB | DOI | WoS
   
• [27]
  

  2021 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2954687

  B. Fehrman, and B. Gess, “Path-by-path well-posedness of nonlinear diffusion equations with multiplicative noise”, Journal de Mathématiques Pures et Appliquées, 2021, 148, 221-266.

  PUB | DOI | WoS
   
• [26]
  

  2021 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2946624

  B. Gess, “Optimal regularity for the porous medium equation”, Journal of the European Mathematical Society, 2021, 23, 425–465.

  PUB | DOI | WoS | arXiv
   
• [25]
  

  2020 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2951317

  B. Gess, J. Sauer, and E. Tadmor, “Optimal regularity in time and space for the porous medium equation”, Analysis & PDE , 2020, 13, 2441-2480.

  PUB | DOI | WoS
   
• [24]
  

  2020 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2948926

  B. Gess, and M. V. Gnann, “The stochastic thin-film equation: Existence of nonnegative martingale solutions”, Stochastic Processes and their Applications, 2020, 130, 7260-7302.

  PUB | DOI | WoS
   
• [23]
  

  2020 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2948951

  K. Dareiotis, B. Gess, and P. Tsatsoulis, “Ergodicity for Stochastic Porous Media Equations with Multiplicative Noise ”, SIAM Journal on Mathematical Analysis, 2020, 52, 4524-4564.

  PUB | DOI | WoS
   
• [22]
  

  2020 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2948624

  B. Gess, and P. Tsatsoulis, “Synchronization by noise for the stochastic quantization equation in dimensions 2 and 3”, Stochastics and Dynamics, 2020, 20, : 2040006.

  PUB | DOI | WoS
   
• [21]
  

  2020 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2945624

  B. Fehrman, B. Gess, and A. Jentzen, “Convergence Rates for the Stochastic Gradient Descent Method for Non-Convex Objective Functions”, Journal of Machine Learning Research (JMLR) , 2020, 21, : 1.

  PUB | WoS
   
• [20]
  

  2020 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2944189

  S. Becker, B. Gess, A. Jentzen, and P. E. Kloeden, “Lower and upper bounds for strong approximation errors for numerical approximations of stochastic heat equations”, BIT NUMERICAL MATHEMATICS, 2020.

  PUB | DOI | WoS
   
• [19]
  

  2020 | Zeitschriftenaufsatz | E-Veröff. vor dem Druck | PUB-ID: 2943794

  B. Gess, W. Liu, and A. Schenke, “Random attractors for locally monotone stochastic partial differential equations”, JOURNAL OF DIFFERENTIAL EQUATIONS, 2020, 269, 3414-3455.

  PUB | DOI | WoS
   
• [18]
  

  2020 | Zeitschriftenaufsatz | E-Veröff. vor dem Druck | PUB-ID: 2943573

  B. Gess, C. Ouyang, and S. Tindel, “Density Bounds for Solutions to Differential Equations Driven by Gaussian Rough Paths”, JOURNAL OF THEORETICAL PROBABILITY, 2020, 33, 611-648.

  PUB | DOI | WoS
   
• [17]
  

  2020 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2942911

  K. Dareiotis, and B. Gess, “Nonlinear diffusion equations with nonlinear gradient noise”, ELECTRONIC JOURNAL OF PROBABILITY, 2020, 25, : 35.

  PUB | DOI | WoS
   
• [16]
  

  2020 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2942092

  P. Gassiat, B. Gess, P. - L. Lions, and P. E. Souganidis, “Speed of propagation for Hamilton-Jacobi equations with multiplicative rough time dependence and convex Hamiltonians”, PROBABILITY THEORY AND RELATED FIELDS, 2020, 176, 421-448.

  PUB | DOI | WoS
   
• [15]
  

  2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2935579

  B. Fehrman, and B. Gess, “Well-Posedness of Nonlinear Diffusion Equations with Nonlinear, Conservative Noise”, ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 2019, 233, 249-322.

  PUB | DOI | WoS
   
• [14]
  

  2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2946623

  K. Chouk, and B. Gess, “Path-by-path regularization by noise for scalar conservation laws”, Journal of Functional Analysis, 2019, 277, 1469-1498.

  PUB | DOI | WoS
   
• [13]
  

  2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2933909

  K. Dareiotis, M. Gerencser, and B. Gess, “Entropy solutions for stochastic porous media equations”, JOURNAL OF DIFFERENTIAL EQUATIONS, 2019, 266, 3732-3763.

  PUB | DOI | WoS
   
• [12]
  

  2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2937862

  K. Dareiotis, and B. Gess, “Supremum estimates for degenerate, quasilinear stochastic partial differential equations”, ANNALES DE L INSTITUT HENRI POINCARE-PROBABILITES ET STATISTIQUES, 2019, 55, 1765-1796.

  PUB | DOI | WoS
   
• [11]
  

  2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2936917

  M. Coghi, and B. Gess, “Stochastic nonlinear Fokker-Planck equations”, Nonlinear Analysis. Theory Methods & Applications, 2019, 187, 259-278.

  PUB | DOI | WoS
   
• [10]
  

  2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2935409

  P. Gassiat, and B. Gess, “Regularization by noise for stochastic Hamilton-Jacobi equations”, PROBABILITY THEORY AND RELATED FIELDS, 2019, 173, 1063-1098.

  PUB | DOI | WoS
   
• [9]
  

  2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2946622

  B. Gess, and X. Lamy, “Regularity of solutions to scalar conservation laws with a force”, Annales de l'Institut Henri Poincaré C, Analyse non linéaire, 2018, 36, 505-521.

  PUB | DOI | WoS
   
• [8]
  

  2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2931096

  B. Gess, and M. Hofmanová, “Well-posedness and regularity for quasilinear degenerate parabolic-hyperbolic SPDE”, ANNALS OF PROBABILITY, 2018, 46, 2495-2544.

  PUB | PDF | DOI | Download (ext.) | WoS
   
• [7]
  

  2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2910486

  B. Gess, and M. Röckner, “STOCHASTIC VARIATIONAL INEQUALITIES AND REGULARITY FOR DEGENERATE STOCHASTIC PARTIAL DIFFERENTIAL EQUATIONS”, TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2017, 369, 3017-3045.

  PUB | DOI | WoS
   
• [6]
  

  2016 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2901336

  B. Gess, and J. M. Tolle, “Stability of solutions to stochastic partial differential equations”, Journal of Differential Equations, 2016, 260, 4973-5025.

  PUB | DOI | WoS
   
• [5]
  

  2015 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2901045

  B. Gess, and M. Röckner, “Singular-degenerate Multivalued Stochastic Fast Diffusion Equations”, Siam Journal on Mathematical Analysis, 2015, 47, 4058-4090.

  PUB | DOI | WoS
   
• [4]
  

  2012 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2536060

  B. Gess, “Strong solutions for stochastic partial differential equations of gradient type”, Journal of Functional Analysis, 2012, 263, 2355-2383.

  PUB | DOI | WoS
   
• [3]
  

  2012 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2510055

  B. Gess, “Random attractors for stochastic porous media equations perturbed by space-time linear multiplicative noise”, Comptes Rendus Mathematique, 2012, 350, 299-302.

  PUB | DOI | WoS
   
• [2]
  

  2011 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2003388

  W. - J. Beyn, B. Gess, P. Lescot, and M. Röckner, “The Global Random Attractor for a Class of Stochastic Porous Media Equations”, Communications in Partial Differential Equations, 2011, 36, 446-469.

  PUB | DOI | WoS
   
• [1]
  

  2011 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2307041

  B. Gess, W. Liu, and M. Röckner, “Random attractors for a class of stochastic partial differential equations driven by general additive noise”, Journal of Differential Equations, 2011, 251, 1225-1253.

  PUB | DOI | WoS