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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 |
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) |
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 |
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 |
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) |
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) |
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 |
Initial-boundary value problem for stochastic transport equations JOURNAL ARTICLE published September 2021 in Stochastics and Partial Differential Equations: Analysis and Computations Research funded by Conselho Nacional de Desenvolvimento Científico e Tecnológico (308064/2019-4) |
Behavior of solutions to the 1D focusing stochastic nonlinear Schrödinger equation with spatially correlated noise JOURNAL ARTICLE published December 2021 in Stochastics and Partial Differential Equations: Analysis and Computations Research funded by National Science Foundation (DMS-1815873/1927258) |
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) |
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 |
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 |
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) |
Correction to: Kernel-based collocation methods for Zakai equations JOURNAL ARTICLE published March 2020 in Stochastics and Partial Differential Equations: Analysis and Computations |
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) |
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 |
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) |
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) |
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) |
Global existence for the stochastic Navier–Stokes equations with small $$L^{p}$$ data JOURNAL ARTICLE published March 2022 in Stochastics and Partial Differential Equations: Analysis and Computations Research funded by National Science Foundation (1907992) |