Preprints 2019

Uniqueness for nonlinear Fokker-Planck equations and weak uniqueness for McKean-Vlasov SDEs

Project: A5

Published: Stochastic Partial Differential Equations: Analysis and Computations 9, no. 3 (2021), 702-713

A note on stochastic dominance, uniform integrability, and lattice properties

Project: C5

Published: Bulletin of the London Mathematical Society 52, no. 5 (2020), 907--923

Notes: DOI: 10.1112/blms.12371

Convex semigroups on $L^p$-like spaces

Project: C5

Published: Journal of Evolution Equations 21 (2021), 2491–2521

Strong dissipativity of generalized time-fractional derivatives and quasi-linear (stochastic) partial differential equations

Project: A5, B1

Published: Journal of Functional Analysis 281, no. 8 (2021), 34 pp.

Submodular mean field games: existence and approximation of solutions

Project: C4, C5

Published: Ann. Appl. Probab. 31, no. 6 (2021), 2538–2566

Notes: DOI: 10.1214/20-AAP1655

Positive Harris recurrence for degenerate diffusions with internal variables and randomly perturbed time-periodic input

Project: B4

Published: Stochastic Processes and their Applications 130, no. 11 (2020), 6965--7003

Fourier transform of Rauzy fractals and point spectrum of 1D Pisot inflation tilings

Project: A6

Published: Documenta Mathematica 25 (2020), 2303--2337

$H^{s,p}$ regularity theory for a class of nonlocal elliptic equations

Project: A3

Published: Nonlinear Analysis 195 (2020), 111730: 1–28

Strong and weak convergence in the averaging principle for SDEs with Hölder coefficients

Project: B1

Well-posedness and regularity for quasilinear degenerate parabolic-hyperbolic SPDE

Project: B1, B7

Published: Ann. Probab. 46 (2018), 2495–2544

Well-posedness of nonlinear diffusion equations with nonlinear, conservative noise

Project: B1

Published: Archive for Rational Mechanics and Analysis 233 (2019), 249–322

Stochastic non-isotropic degenerate parabolic-hyperbolic equations

Project: B1

Published: Stochastic Processes and their Applications 127 (2017), 2961–3004

Regularization and well-posedness by noise for ordinary and partial differential equations

Project: B1

Published: Stochastic Partial Differential Equations and Related Fields, eds. A. Eberle et al., Springer, Cham (2018), 43–67

Regularization by noise for stochastic Hamilton-Jacobi equations

Project: B1

Published: Probab. Theory Relat. Fields 173 (2019), 1063–1098

Well-posedness by noise for scalar conservation laws

Project: B1

Published: Communications in Partial Differential Equations 43 (2018), 1702–1736

Stochastic continuity equations with conservative noise

Project: B1

Published: Journal de Mathématiques Pures et Appliquées 9, no. 128 (2019), 225–263

Supremum estimates for degenerate, quasilinear stochastic partial differential equations

Project: B1

Published: Annales de l'Institut Henri Poincaré, Probabilités et Statistiques 55 (2019), 1765–1796

Entropy solutions for stochastic porous media equations

Project: B1

Published: Journal of Differential Equations 266 (2019), 3732–3763

Stochastic nonlinear Fokker-Planck equations

Project: B1

Published: Nonlinear Analysis. Theory, Methods & Applications 187 (2019), 259–278

Speed of propagation for Hamilton-Jacobi equations with multiplicative rough time dependence and convex Hamiltonians

Project: B1

Published: Probab. Theory Relat. Fields 176 (2020), 421–448