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Nonlinear parabolic stochastic evolution equations in critical spaces Part I. Stochastic maximal regularity and local existence

Nonlinearity, 2022-08, Vol.35 (8), p.4100-4210

2022

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Fourier multipliers in Banach function spaces with UMD concavifications

Transactions of the American Mathematical Society, 2019-04, Vol.371 (7), p.4837-4868

2019

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Reaction-diffusion equations with transport noise and critical superlinear diffusion: Local well-posedness and positivity

Journal of Differential Equations, 2023-09, Vol.368, p.247-300

2023

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Stochastic Navier–Stokes Equations for Turbulent Flows in Critical Spaces

Communications in mathematical physics, 2024-02, Vol.405 (2), Article 43

2024

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The stochastic Fubini theorem revisited

Stochastics (Abingdon, Eng. : 2005), 2012-08, Vol.84 (4), p.543-551

Veraar, Mark

2012

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Nonlinear parabolic stochastic evolution equations in critical spaces part II: Blow-up criteria and instantaneous regularization

Journal of evolution equations, 2022-06, Vol.22 (2), Article 56

2022

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The heat equation with rough boundary conditions and holomorphic functional calculus

Journal of Differential Equations, 2020-09, Vol.269 (7), p.5832-5899

2020

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Reaction-Diffusion Equations with Transport Noise and Critical Superlinear Diffusion: Global Well-Posedness of Weakly Dissipative Systems

SIAM journal on mathematical analysis, 2024-08, Vol.56 (4), p.4870-4927

2024

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Stability properties of stochastic maximal L-regularity

Journal of mathematical analysis and applications, 2020-02, Vol.482 (2), p.123553, Article 123553

2020

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The critical variational setting for stochastic evolution equations

Probability theory and related fields, 2024-04, Vol.188 (3-4), p.957-1015

2024

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Stochastic maximal Lp(Lq)-regularity for second order systems with periodic boundary conditions

Annales de l'I.H.P. Probabilités et statistiques, 2024-02, Vol.60 (1)

2024

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Nonlinear parabolic stochastic evolution equations in critical spaces Part I. Stochastic maximal regularity and local existence The second author is supported by the VIDI subsidy 639.032.427 of the Netherlands Organisation for Scientific Research (NWO)

Nonlinearity, 2022-07, Vol.35 (8), p.4100-4210

2022

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Extensions of the vector-valued Hausdorff–Young inequalities

Mathematische Zeitschrift, 2021-10, Vol.299 (1-2), p.373-425

2021

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On temporal regularity of stochastic convolutions in $2$-smooth Banach spaces

Annales de l'I.H.P. Probabilités et statistiques, 2020-08, Vol.56 (3)

2020

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Stability theory for semigroups using (Lp,Lq) Fourier multipliers

Journal of functional analysis, 2018-11, Vol.275 (10), p.2845-2894

2018

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Maximal inequalities for stochastic convolutions in 2-smooth Banach spaces and applications to stochastic evolution equations

Philosophical transactions of the Royal Society of London. Series A: Mathematical, physical, and engineering sciences, 2020-11, Vol.378 (2185), p.20190622

2020

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Stochastic maximal regularity for rough time-dependent problems

Stochastic partial differential equations : analysis and computations, 2019-12, Vol.7 (4), p.541-597

2019

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Maximal Regularity for Non-autonomous Equations with Measurable Dependence on Time

Potential analysis, 2017-03, Vol.46 (3), p.527-567

2017

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Stability properties of stochastic maximal Lp-regularity

Journal of mathematical analysis and applications, 2020-02, Vol.482 (2), Article 123553

2020

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On the trace embedding and its applications to evolution equations

Mathematische Nachrichten, 2023-04, Vol.296 (4), p.1319-1350

2023

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Fourier Multiplier Theorems Involving Type and Cotype

The Journal of fourier analysis and applications, 2018-04, Vol.24 (2), p.583-619

2018

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Singular stochastic integral operators

Analysis & PDE, 2021-01, Vol.14 (5), p.1443-1507

2021

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Nonlinear parabolic stochastic evolution equations in critical spaces part II

Journal of evolution equations, 2022-01, Vol.22 (2)

2022

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Cylindrical continuous martingales and stochastic integration in infinite dimensions

Electronic journal of probability, 2016-01, Vol.21 (none)

2016

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Sharp growth rates for semigroups using resolvent bounds

Journal of evolution equations, 2018-12, Vol.18 (4), p.1721-1744

2018

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Nonlinear parabolic stochastic evolution equations in critical spaces Part I. Stochastic maximal regularity and local existence

Fourier multipliers in Banach function spaces with UMD concavifications

Reaction-diffusion equations with transport noise and critical superlinear diffusion: Local well-posedness and positivity

Stochastic Navier–Stokes Equations for Turbulent Flows in Critical Spaces

The stochastic Fubini theorem revisited

Nonlinear parabolic stochastic evolution equations in critical spaces part II: Blow-up criteria and instantaneous regularization

The heat equation with rough boundary conditions and holomorphic functional calculus

Reaction-Diffusion Equations with Transport Noise and Critical Superlinear Diffusion: Global Well-Posedness of Weakly Dissipative Systems

Stability properties of stochastic maximal L-regularity

The critical variational setting for stochastic evolution equations

Stochastic maximal Lp(Lq)-regularity for second order systems with periodic boundary conditions

Nonlinear parabolic stochastic evolution equations in critical spaces Part I. Stochastic maximal regularity and local existence The second author is supported by the VIDI subsidy 639.032.427 of the Netherlands Organisation for Scientific Research (NWO)

Extensions of the vector-valued Hausdorff–Young inequalities

On temporal regularity of stochastic convolutions in $2$-smooth Banach spaces

Stability theory for semigroups using (Lp,Lq) Fourier multipliers

Maximal inequalities for stochastic convolutions in 2-smooth Banach spaces and applications to stochastic evolution equations

Stochastic maximal regularity for rough time-dependent problems

Maximal Regularity for Non-autonomous Equations with Measurable Dependence on Time

Stability properties of stochastic maximal Lp-regularity

On the trace embedding and its applications to evolution equations

Fourier Multiplier Theorems Involving Type and Cotype

Singular stochastic integral operators

Nonlinear parabolic stochastic evolution equations in critical spaces part II

Cylindrical continuous martingales and stochastic integration in infinite dimensions

Sharp growth rates for semigroups using resolvent bounds

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