Searched for: subject%3A%22Stochastic%255C+maximal%255C+regularity%22
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Agresti, Antonio (author), Lindemulder, N. (author), Veraar, M.C. (author)
In this paper, we consider traces at initial times for functions with mixed time-space smoothness. Such results are often needed in the theory of evolution equations. Our result extends and unifies many previous results. Our main improvement is that we can allow general interpolation couples. The abstract results are applied to regularity...
journal article 2023
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Agresti, Antonio (author), Veraar, M.C. (author)
In this paper we develop a new approach to nonlinear stochastic partial differential equations with Gaussian noise. Our aim is to provide an abstract framework which is applicable to a large class of SPDEs and includes many important cases of nonlinear parabolic problems which are of quasi- or semilinear type. This first part is on local...
journal article 2022
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Agresti, Antonio (author), Veraar, M.C. (author)
This paper is a continuation of Part I of this project, where we developed a new local well-posedness theory for nonlinear stochastic PDEs with Gaussian noise. In the current Part II we consider blow-up criteria and regularization phenomena. As in Part I we can allow nonlinearities with polynomial growth and rough initial values from critical...
journal article 2022
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Lorist, E. (author)
In this dissertation we develop vector-valued harmonic analysis methods. Particular emphasis is put on the study of stochastic singular integral operators, which arise naturally in the study of SPDE.
doctoral thesis 2021
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Lorist, E. (author), Veraar, M.C. (author)
We introduce Calderón-Zygmund theory for singular stochastic integrals with operator-valued kernel. In particular, we prove L <sup>p</sup>-extrapolation results under a Hörmander condition on the kernel. Sparse domination and sharp weighted bounds are obtained under a Dini condition on the kernel, leading to a stochastic version of the...
journal article 2021
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Agresti, A. (author), Veraar, M.C. (author)
In this paper we consider L<sup>p</sup>-regularity estimates for solutions to stochastic evolution equations, which is called stochastic maximal L<sup>p</sup>-regularity. Our aim is to find a theory which is analogously to Dore's theory for deterministic evolution equations. He has shown that maximal L<sup>p</sup>-regularity is independent of...
journal article 2020
Searched for: subject%3A%22Stochastic%255C+maximal%255C+regularity%22
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