Stochastic maximal regularity for rough time-dependent problems

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

Research funded by Australian Research Council (FT130100607) | Nederlandse Organisatie voor Wetenschappelijk Onderzoek (639.032.427)

Authors: Pierre Portal | Mark Veraar

Wong–Zakai approximation and support theorem for semilinear stochastic partial differential equations with finite dimensional noise in the whole space

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

Authors: Timur Yastrzhembskiy

An extension of the sewing lemma to hyper-cubes and hyperbolic equations driven by multi-parameter Young fields

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

Research funded by Norges Forskningsråd (274410)

Authors: Fabian A. Harang

Continuous dependence estimate for a degenerate parabolic–hyperbolic equation with Lévy noise

JOURNAL ARTICLE published June 2017 in Stochastics and Partial Differential Equations: Analysis and Computations

Authors: Ujjwal Koley | Ananta K. Majee | Guy Vallet

Non-uniqueness in law of three-dimensional Navier–Stokes equations diffused via a fractional Laplacian with power less than one half

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

Authors: Kazuo Yamazaki

Pathwise uniqueness for stochastic reaction-diffusion equations in Banach spaces with an Hölder drift component

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

Authors: Sandra Cerrai | Giuseppe Da Prato | Franco Flandoli

Weak martingale solutions for the stochastic nonlinear Schrödinger equation driven by pure jump noise

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

Research funded by Deutsche Forschungsgemeinschaft (CRC 1173) | The Royal Society (IE140328)

Authors: Zdzisław Brzeźniak | Fabian Hornung | Utpal Manna

Existence of invariant measures for the stochastic damped Schrödinger equation

JOURNAL ARTICLE published September 2017 in Stochastics and Partial Differential Equations: Analysis and Computations

Research funded by National Science Foundation (DMS-1311943) | National Science Foundation (DMS-1615239,DMS-1109562)

Authors: Ibrahim Ekren | Igor Kukavica | Mohammed Ziane

On the convergence of stochastic transport equations to a deterministic parabolic one

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

Authors: Lucio Galeati

Convergent numerical approximation of the stochastic total variation flow

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

Research funded by Deutsche Forschungsgemeinschaft (CRC 1283)

Authors: L’ubomír Baňas | Michael Röckner | André Wilke

Estimates in $$L_{p}$$ for solutions of SPDEs with coefficients in Morrey classes

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

Authors: N. V. Krylov

Correction to: Convergent numerical approximation of the stochastic total variation flow

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

Authors: Ĺubomír Baňas | Michael Röckner | André Wilke

An order approach to SPDEs with antimonotone terms

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

Research funded by Vienna Science and Technology Fund (MA14-009) | Austrian Science Fund (F 65,I 2375) | Austrian Science Fund (M 2876,P 32788)

Authors: Luca Scarpa | Ulisse Stefanelli

Correction to: Kernel-based collocation methods for Zakai equations

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

Authors: Yumiharu Nakano

Intrusive and non-intrusive chaos approximation for a two-dimensional steady state Navier–Stokes system with random forcing

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

Research funded by air force office of scientific research (FA9550-21-1-0015) | army research office (W911N-16-1-0103,W911N-16-1-0103) | army research office (W911N-16-1-0103)

Authors: S. V. Lototsky | R. Mikulevicius | B. L. Rozovsky

Existence and probabilistic representation of the solutions of semilinear parabolic PDEs with fractional Laplacians

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

Authors: Guillaume Penent | Nicolas Privault

Numerical solutions of stochastic PDEs driven by arbitrary type of noise

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

Research funded by Army Research Office (W911NF-16-1-0103)

Authors: Tianheng Chen | Boris Rozovskii | Chi-Wang Shu

Central limit theorems for stochastic wave equations in dimensions one and two

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

Research funded by Division of Mathematical Sciences (1811181)

Authors: David Nualart | Guangqu Zheng

Gaussian fluctuations for the stochastic heat equation with colored noise

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

Research funded by Division of Mathematical Sciences (1811181)

Authors: Jingyu Huang | David Nualart | Lauri Viitasaari | Guangqu Zheng

An invariance principle for the two-dimensional parabolic Anderson model with small potential

JOURNAL ARTICLE published December 2017 in Stochastics and Partial Differential Equations: Analysis and Computations

Authors: Khalil Chouk | Jan Gairing | Nicolas Perkowski