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Iterated stochastic integrals in infinite dimensions: approximation and error estimates JOURNAL ARTICLE published June 2019 in Stochastics and Partial Differential Equations: Analysis and Computations Research funded by Deutsche Forschungsgemeinschaft (DFG GSC 235/2,Cluster of Excellence 80 The Future Ocean) |
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Interpolating the stochastic heat and wave equations with time-independent noise: solvability and exact asymptotics JOURNAL ARTICLE published September 2023 in Stochastics and Partial Differential Equations: Analysis and Computations |
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Backward and forward filtering under the weak Hörmander condition JOURNAL ARTICLE published March 2023 in Stochastics and Partial Differential Equations: Analysis and Computations |
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An $$L_q(L_p)$$-theory for space-time non-local equations generated by Lévy processes with low intensity of small jumps JOURNAL ARTICLE published 25 August 2023 in Stochastics and Partial Differential Equations: Analysis and Computations Research funded by Ministry of Science and ICT, South Korea (NRF-2019R1A5A1028324,NRF-2019R1A5A1028324) |
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On the two-dimensional hyperbolic stochastic sine-Gordon equation JOURNAL ARTICLE published March 2021 in Stochastics and Partial Differential Equations: Analysis and Computations Research funded by H2020 European Research Council (637995) | National Science Foundation (DMS-1811093) |
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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) |
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A derivative-free Milstein type approximation method for SPDEs covering the non-commutative noise case JOURNAL ARTICLE published December 2023 in Stochastics and Partial Differential Equations: Analysis and Computations Research funded by Deutsche Forschungsgemeinschaft (DFG GSC 235/2,Cluster of Excellence: The Future Ocean) |
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A stochastic thermalization of the Discrete Nonlinear Schrödinger Equation JOURNAL ARTICLE published December 2023 in Stochastics and Partial Differential Equations: Analysis and Computations Research funded by Agence Nationale de la Recherche (ANR-15-CE40-0020-01 LSD) |
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The stochastic Fisher-KPP Equation with seed bank and on/off branching coalescing Brownian motion JOURNAL ARTICLE published June 2023 in Stochastics and Partial Differential Equations: Analysis and Computations Research funded by Deutsche Forschungsgemeinschaft (DFG SPP 1590,SPP 1590) |
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Optimal rate of convergence for stochastic Burgers-type equations JOURNAL ARTICLE published June 2016 in Stochastics and Partial Differential Equations: Analysis and Computations Research funded by Leverhulme Trust (RL-2012-020) | European Research Council (615897) | Royal Society (WRMA09R2/HLL) |
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Inviscid limit for stochastic second-grade fluid equations JOURNAL ARTICLE published June 2024 in Stochastics and Partial Differential Equations: Analysis and Computations |
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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 |
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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) |
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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 |
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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 |
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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) |
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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) |
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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 |
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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) |
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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) |