On $$L_{p}$$ - theory for stochastic parabolic integro-differential equations

JOURNAL ARTICLE published June 2013 in Stochastic Partial Differential Equations: Analysis and Computations

Authors: R. Mikulevicius | H. Pragarauskas

A K-rough path above the space-time fractional Brownian motion

JOURNAL ARTICLE published December 2021 in Stochastics and Partial Differential Equations: Analysis and Computations

Research funded by Simons Foundation (355480) | National Science Foundation (1952966)

Authors: Xia Chen | Aurélien Deya | Cheng Ouyang | Samy Tindel

Continuity equation in LlogL for the 2D Euler equations under the enstrophy measure

JOURNAL ARTICLE published June 2021 in Stochastics and Partial Differential Equations: Analysis and Computations

Authors: Giuseppe Da Prato | Franco Flandoli | Michael Röckner

Berry–Esseen theorem and quantitative homogenization for the random conductance model with degenerate conductances

JOURNAL ARTICLE published June 2019 in Stochastics and Partial Differential Equations: Analysis and Computations

Authors: Sebastian Andres | Stefan Neukamm

Global solvability and convergence to stationary solutions in singular quasilinear stochastic PDEs

JOURNAL ARTICLE published September 2022 in Stochastics and Partial Differential Equations: Analysis and Computations

Research funded by Japan Society for the Promotion of Science ((A) 18H03672,(S) 16H06338) | Japan Society for the Promotion of Science ((C) 20K03627)

Authors: Tadahisa Funaki | Bin Xie

Stochastic homogenization of the Landau–Lifshitz–Gilbert equation

JOURNAL ARTICLE published December 2021 in Stochastics and Partial Differential Equations: Analysis and Computations

Authors: François Alouges | Anne de Bouard | Benoît Merlet | Léa Nicolas

Stochastic variational inequalities associated with elasto-plastic torsion

JOURNAL ARTICLE published March 2014 in Stochastic Partial Differential Equations: Analysis and Computations

Authors: Jong Uhn Kim

Quasi-invariance of Gaussian measures for the periodic Benjamin-Ono-BBM equation

JOURNAL ARTICLE published June 2023 in Stochastics and Partial Differential Equations: Analysis and Computations

Authors: Giuseppe Genovese | Renato Lucà | Nikolay Tzvetkov

Stochastic nonlinear Schrödinger equations on tori

JOURNAL ARTICLE published June 2019 in Stochastics and Partial Differential Equations: Analysis and Computations

Research funded by Engineering and Physical Sciences Research Council (EP/L016508/01)

Authors: Kelvin Cheung | Razvan Mosincat

KPZ equation, its renormalization and invariant measures

JOURNAL ARTICLE published June 2015 in Stochastic Partial Differential Equations: Analysis and Computations

Authors: Tadahisa Funaki | Jeremy Quastel

Subordinated Gaussian random fields in elliptic partial differential equations

JOURNAL ARTICLE published June 2023 in Stochastics and Partial Differential Equations: Analysis and Computations

Research funded by Deutsche Forschungsgemeinschaft (EXC 2075-390740016)

Authors: Robin Merkle | Andrea Barth

On the asymptotic behavior of solutions of the Cauchy problem for parabolic equations with time periodic coefficients

JOURNAL ARTICLE published 29 October 2021 in Stochastics and Partial Differential Equations: Analysis and Computations

Authors: R. Z. Khasminskii | N. V. Krylov

Analysis of the gradient of the solution to a stochastic heat equation via fractional Brownian motion

JOURNAL ARTICLE published June 2015 in Stochastic Partial Differential Equations: Analysis and Computations

Authors: Mohammud Foondun | Davar Khoshnevisan | Pejman Mahboubi

A regularity theory for stochastic generalized Burgers’ equation driven by a multiplicative space-time white noise

JOURNAL ARTICLE published September 2023 in Stochastics and Partial Differential Equations: Analysis and Computations

Research funded by National Research Foundation of Korea (NRF-2021R1C1C2007792)

Authors: Beom-Seok Han

Regularity of random elliptic operators with degenerate coefficients and applications to stochastic homogenization

JOURNAL ARTICLE published 27 February 2024 in Stochastics and Partial Differential Equations: Analysis and Computations

Research funded by Deutsche Forschungsgemeinschaft (BE 5922/1-1)

Authors: Peter Bella | Michael Kniely

Two-scale coupling for preconditioned Hamiltonian Monte Carlo in infinite dimensions

JOURNAL ARTICLE published March 2021 in Stochastics and Partial Differential Equations: Analysis and Computations

Research funded by Division of Mathematical Sciences (1816378) | Deutsche Forschungsgemeinschaft (390685813)

Authors: Nawaf Bou-Rabee | Andreas Eberle

Multilevel methods for uncertainty quantification of elliptic PDEs with random anisotropic diffusion

JOURNAL ARTICLE published March 2020 in Stochastics and Partial Differential Equations: Analysis and Computations

Research funded by Schweizerischer Nationalfonds zur Förderung der Wissenschaftlichen Forschung (205321_169599)

Authors: Helmut Harbrecht | Marc Schmidlin

Stochastic integration and stochastic PDEs driven by jumps on the dual of a nuclear space

JOURNAL ARTICLE published December 2018 in Stochastics and Partial Differential Equations: Analysis and Computations

Research funded by Vicerrectoría de Investigación, Universidad de Costa Rica (820-B6-202)

Authors: C. A. Fonseca-Mora

Stochastic evolution equations with Lévy noise in the dual of a nuclear space

JOURNAL ARTICLE published March 2024 in Stochastics and Partial Differential Equations: Analysis and Computations

Research funded by Vicerrectoría de Investigación, Universidad de Costa Rica (B9131)

Authors: C. A. Fonseca-Mora

Global flows with invariant measures for the inviscid modified SQG equations

JOURNAL ARTICLE published June 2018 in Stochastics and Partial Differential Equations: Analysis and Computations

Research funded by National Science Foundation (NSF DMS-1201443,DMS-1463714) | National Science Foundation (NSF DMS-1516228) | National Science Foundation (NSF DMS-1362509,DMS-1462401) | National Science Foundation (NSF DMS-1612931)

Authors: Andrea R. Nahmod | Nataša Pavlović | Gigliola Staffilani | Nathan Totz