PUB - Publikationen an der Universität Bielefeld

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• [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, vol. 248, 2024, : 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, vol. 25, 2024, : 30.

  PUB | WoS
   
• [35]
  

  2024 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2986294

  P. Gassiat, et al., “Long-time behavior of stochastic Hamilton-Jacobi equations”, Long-time behavior of stochastic Hamilton-Jacobi equations, vol. 286, 2024, : 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, vol. 50, 2022, pp. 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, et al., “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, vol. 57, 2021, pp. 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, vol. 148, 2021, pp. 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, vol. 23, 2021, pp. 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 , vol. 13, 2020, pp. 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, vol. 130, 2020, pp. 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, vol. 52, 2020, pp. 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, vol. 20, 2020, : 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) , vol. 21, 2020, : 1.

  PUB | WoS
   
• [20]
  

  2020 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2944189

  S. Becker, et al., “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, vol. 269, 2020, pp. 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, vol. 33, 2020, pp. 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, vol. 25, 2020, : 35.

  PUB | DOI | WoS
   
• [16]
  

  2020 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2942092

  P. Gassiat, et al., “Speed of propagation for Hamilton-Jacobi equations with multiplicative rough time dependence and convex Hamiltonians”, PROBABILITY THEORY AND RELATED FIELDS, vol. 176, 2020, pp. 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, vol. 233, 2019, pp. 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, vol. 277, 2019, pp. 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, vol. 266, 2019, pp. 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, vol. 55, 2019, pp. 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, vol. 187, 2019, pp. 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, vol. 173, 2019, pp. 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, vol. 36, 2018, pp. 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, vol. 46, 2018, pp. 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, vol. 369, 2017, pp. 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, vol. 260, 2016, pp. 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, vol. 47, 2015, pp. 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, vol. 263, 2012, pp. 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, vol. 350, 2012, pp. 299-302.

  PUB | DOI | WoS
   
• [2]
  

  2011 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2003388

  W.-J. Beyn, et al., “The Global Random Attractor for a Class of Stochastic Porous Media Equations”, Communications in Partial Differential Equations, vol. 36, 2011, pp. 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, vol. 251, 2011, pp. 1225-1253.

  PUB | DOI | WoS