PUB - Publikationen an der Universität Bielefeld

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• [37]
  

  2024 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2988224

  Fehrman, B., & Gess, B., 2024. Well-Posedness of the Dean-Kawasaki and the Nonlinear Dawson-Watanabe Equation with Correlated Noise. Archive for Rational Mechanics and Analysis, 248(2): 20.

  PUB | DOI | WoS
   
• [36]
  

  2024 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2987528

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

  PUB | WoS
   
• [35]
  

  2024 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2986294

  Gassiat, P., et al., 2024. Long-time behavior of stochastic Hamilton-Jacobi equations. Long-time behavior of stochastic Hamilton-Jacobi equations, 286(4): 110269.

  PUB | DOI | WoS
   
• [34]
  

  2023 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2982775

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

  PUB | DOI | WoS
   
• [33]
  

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

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

  PUB | DOI | WoS
   
• [32]
  

  2022 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2967869

  Bruno, S., Gess, B., & Weber, H., 2022. Optimal regularity in time and space for stochastic porous medium equations. Annals of Probability, 50(6), p 2288-2343.

  PUB | DOI | WoS
   
• [31]
  

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

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

  PUB | DOI | WoS
   
• [30]
  

  2022 | Preprint | PUB-ID: 2964704

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

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

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

  Becker, S., et al., 2022. Strong convergence rates for explicit space-time discrete numerical approximations of stochastic Allen-Cahn equations. Stochastics and Partial Differential Equations : Analysis and Computations .

  PUB | DOI | WoS
   
• [28]
  

  2021 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2958907

  Dareiotis, K., Gerencser, M., & Gess, B., 2021. Porous media equations with multiplicative space-time white noise. Annales de l'Institut Henri Poincaré (B): Probability and Statistics, 57(4), p 2354-2371.

  PUB | DOI | WoS
   
• [27]
  

  2021 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2954687

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

  PUB | DOI | WoS
   
• [26]
  

  2021 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2946624

  Gess, B., 2021. Optimal regularity for the porous medium equation. Journal of the European Mathematical Society, 23(2), p 425–465.

  PUB | DOI | WoS | arXiv
   
• [25]
  

  2020 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2951317

  Gess, B., Sauer, J., & Tadmor, E., 2020. Optimal regularity in time and space for the porous medium equation. Analysis & PDE , 13(8), p 2441-2480.

  PUB | DOI | WoS
   
• [24]
  

  2020 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2948926

  Gess, B., & Gnann, M.V., 2020. The stochastic thin-film equation: Existence of nonnegative martingale solutions. Stochastic Processes and their Applications, 130(12), p 7260-7302.

  PUB | DOI | WoS
   
• [23]
  

  2020 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2948951

  Dareiotis, K., Gess, B., & Tsatsoulis, P., 2020. Ergodicity for Stochastic Porous Media Equations with Multiplicative Noise . SIAM Journal on Mathematical Analysis, 52(5), p 4524-4564.

  PUB | DOI | WoS
   
• [22]
  

  2020 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2948624

  Gess, B., & Tsatsoulis, P., 2020. Synchronization by noise for the stochastic quantization equation in dimensions 2 and 3. Stochastics and Dynamics, 20(6): 2040006.

  PUB | DOI | WoS
   
• [21]
  

  2020 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2945624

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

  PUB | WoS
   
• [20]
  

  2020 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2944189

  Becker, S., et al., 2020. Lower and upper bounds for strong approximation errors for numerical approximations of stochastic heat equations. BIT NUMERICAL MATHEMATICS.

  PUB | DOI | WoS
   
• [19]
  

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

  Gess, B., Liu, W., & Schenke, A., 2020. Random attractors for locally monotone stochastic partial differential equations. JOURNAL OF DIFFERENTIAL EQUATIONS, 269(4), p 3414-3455.

  PUB | DOI | WoS
   
• [18]
  

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

  Gess, B., Ouyang, C., & Tindel, S., 2020. Density Bounds for Solutions to Differential Equations Driven by Gaussian Rough Paths. JOURNAL OF THEORETICAL PROBABILITY, 33(2), p 611-648.

  PUB | DOI | WoS
   
• [17]
  

  2020 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2942911

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

  PUB | DOI | WoS
   
• [16]
  

  2020 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2942092

  Gassiat, P., et al., 2020. Speed of propagation for Hamilton-Jacobi equations with multiplicative rough time dependence and convex Hamiltonians. PROBABILITY THEORY AND RELATED FIELDS, 176(1-2), p 421-448.

  PUB | DOI | WoS
   
• [15]
  

  2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2935579

  Fehrman, B., & Gess, B., 2019. Well-Posedness of Nonlinear Diffusion Equations with Nonlinear, Conservative Noise. ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 233(1), p 249-322.

  PUB | DOI | WoS
   
• [14]
  

  2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2946623

  Chouk, K., & Gess, B., 2019. Path-by-path regularization by noise for scalar conservation laws. Journal of Functional Analysis, 277(5), p 1469-1498.

  PUB | DOI | WoS
   
• [13]
  

  2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2933909

  Dareiotis, K., Gerencser, M., & Gess, B., 2019. Entropy solutions for stochastic porous media equations. JOURNAL OF DIFFERENTIAL EQUATIONS, 266(6), p 3732-3763.

  PUB | DOI | WoS
   
• [12]
  

  2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2937862

  Dareiotis, K., & Gess, B., 2019. Supremum estimates for degenerate, quasilinear stochastic partial differential equations. ANNALES DE L INSTITUT HENRI POINCARE-PROBABILITES ET STATISTIQUES, 55(3), p 1765-1796.

  PUB | DOI | WoS
   
• [11]
  

  2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2936917

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

  PUB | DOI | WoS
   
• [10]
  

  2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2935409

  Gassiat, P., & Gess, B., 2019. Regularization by noise for stochastic Hamilton-Jacobi equations. PROBABILITY THEORY AND RELATED FIELDS, 173(3-4), p 1063-1098.

  PUB | DOI | WoS
   
• [9]
  

  2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2946622

  Gess, B., & Lamy, X., 2018. Regularity of solutions to scalar conservation laws with a force. Annales de l'Institut Henri Poincaré C, Analyse non linéaire, 36(2), p 505-521.

  PUB | DOI | WoS
   
• [8]
  

  2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2931096

  Gess, B., & Hofmanová, M., 2018. Well-posedness and regularity for quasilinear degenerate parabolic-hyperbolic SPDE. ANNALS OF PROBABILITY, 46(5), p 2495-2544.

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

  2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2910486

  Gess, B., & Röckner, M., 2017. STOCHASTIC VARIATIONAL INEQUALITIES AND REGULARITY FOR DEGENERATE STOCHASTIC PARTIAL DIFFERENTIAL EQUATIONS. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 369(5), p 3017-3045.

  PUB | DOI | WoS
   
• [6]
  

  2016 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2901336

  Gess, B., & Tolle, J.M., 2016. Stability of solutions to stochastic partial differential equations. Journal of Differential Equations, 260(6), p 4973-5025.

  PUB | DOI | WoS
   
• [5]
  

  2015 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2901045

  Gess, B., & Röckner, M., 2015. Singular-degenerate Multivalued Stochastic Fast Diffusion Equations. Siam Journal on Mathematical Analysis, 47(5), p 4058-4090.

  PUB | DOI | WoS
   
• [4]
  

  2012 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2536060

  Gess, B., 2012. Strong solutions for stochastic partial differential equations of gradient type. Journal of Functional Analysis, 263(8), p 2355-2383.

  PUB | DOI | WoS
   
• [3]
  

  2012 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2510055

  Gess, B., 2012. Random attractors for stochastic porous media equations perturbed by space-time linear multiplicative noise. Comptes Rendus Mathematique, 350(5-6), p 299-302.

  PUB | DOI | WoS
   
• [2]
  

  2011 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2003388

  Beyn, W.-J., et al., 2011. The Global Random Attractor for a Class of Stochastic Porous Media Equations. Communications in Partial Differential Equations, 36(3), p 446-469.

  PUB | DOI | WoS
   
• [1]
  

  2011 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2307041

  Gess, B., Liu, W., & Röckner, M., 2011. Random attractors for a class of stochastic partial differential equations driven by general additive noise. Journal of Differential Equations, 251(4-5), p 1225-1253.

  PUB | DOI | WoS