More on the long time stability of Feynman–Kac semigroups

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

Research funded by Agence Nationale de la Recherche (ANR-14-CE23-0012,ANR-10-LABX-58-01) | FP7 Ideas: European Research Council (614492)

Authors: Grégoire Ferré | Mathias Rousset | Gabriel Stoltz

Smoluchowski–Kramers approximation for the damped stochastic wave equation with multiplicative noise in any spatial dimension

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

Authors: Michael Salins

Optimal decay of the parabolic semigroup in stochastic homogenization for correlated coefficient fields

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

Authors: Nicolas Clozeau

A regularity theory for stochastic partial differential equations driven by multiplicative space-time white noise with the random fractional Laplacians

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

Research funded by National Research Foundation of Korea (NRF-2019R1A5A1028324)

Authors: Beom-Seok Han

A reflected moving boundary problem driven by space–time white noise

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

Research funded by Engineering and Physical Sciences Research Council (EP/L015811/1)

Authors: Ben Hambly | Jasdeep Kalsi

A Multi Level Monte Carlo method with control variate for elliptic PDEs with log-normal coefficients

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

Authors: Fabio Nobile | Francesco Tesei

From additive to transport noise in 2D fluid dynamics

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

Authors: Franco Flandoli | Umberto Pappalettera

Random homogenisation of a highly oscillatory singular potential

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

Authors: Martin Hairer | Etienne Pardoux | Andrey Piatnitski

Higher order homogenization for random non-autonomous parabolic operators

JOURNAL ARTICLE published 13 February 2024 in Stochastics and Partial Differential Equations: Analysis and Computations

Authors: Marina Kleptsyna | Andrey Piatnitski | Alexandre Popier

Euler time discretization of backward doubly SDEs and application to semilinear SPDEs

JOURNAL ARTICLE published September 2016 in Stochastics and Partial Differential Equations: Analysis and Computations

Authors: Achref Bachouch | Mohamed Anis Ben Lasmar | Anis Matoussi | Mohamed Mnif

Regularity theory for a new class of fractional parabolic stochastic evolution equations

JOURNAL ARTICLE published 30 October 2023 in Stochastics and Partial Differential Equations: Analysis and Computations

Research funded by Nederlandse Organisatie voor Wetenschappelijk Onderzoek (VI.Veni.212.021)

Authors: Kristin Kirchner | Joshua Willems

Exponential attractors for random dynamical systems and applications

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

Authors: Armen Shirikyan | Sergey Zelik

Global martingale solutions for stochastic Shigesada–Kawasaki–Teramoto population models

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

Research funded by FWF (I3401,P33010) | FWF (W1245,F65) | FWF (Y1235) | H2020 European Research Council (101018153)

Authors: Marcel Braukhoff | Florian Huber | Ansgar Jüngel

Well posedness and stochastic derivation of a diffusion-growth-fragmentation equation in a chemostat

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

Authors: Josué Tchouanti

Log-Harnack inequality for reflected SPDEs driven by multiplicative noises and its applications

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

Research funded by Japan Society for the Promotion of Science (20K03627)

Authors: Bin Xie

Norm inflation for a non-linear heat equation with gaussian initial conditions

JOURNAL ARTICLE published 15 October 2023 in Stochastics and Partial Differential Equations: Analysis and Computations

Research funded by Engineering and Physical Sciences Research Council (EP/X015688/1)

Authors: Ilya Chevyrev

Convergence of a $$theta $$ θ -scheme to solve the stochastic nonlinear Schrödinger equation with Stratonovich noise

JOURNAL ARTICLE published June 2016 in Stochastics and Partial Differential Equations: Analysis and Computations

Research funded by National Natural Science Foundation of China (CN) (91130003) | National Natural Science Foundation of China (CN) (11021101) | National Natural Science Foundation of China (CN) (11290142) | National Natural Science Foundation of China (CN) (91130003) | National Natural Science Foundation of China (CN) (11021101) | National Natural Science Foundation of China (CN) (11290142)

Authors: Chuchu Chen | Jialin Hong | Andreas Prohl

Stochastic resonance in stochastic PDEs

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

Research funded by Agence Nationale de la Recherche (ANR-19-CE40-0023)

Authors: Nils Berglund | Rita Nader

Quasi-linear SPDEs in divergence form

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

Research funded by Royal Society (UF140187)

Authors: Felix Otto | Hendrik Weber

Global well-posedness and long-time behavior of the fractional NLS

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

Authors: Mouhamadou Sy | Xueying Yu