A Kolmogorov-type theorem for stochastic fields

DOI10.1080/07362994.2020.1862676zbMath1480.60185arXiv1911.05868OpenAlexW3118782971MaRDI QIDQ3383682

Jin-Long Wei, Guangying Lv

Publication date: 16 December 2021

Published in: Stochastic Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1911.05868

zbMATH Keywords

Kolmogorov continuity theoremnonlocal stochastic parabolic equations

Mathematics Subject Classification ID

Sample path properties (60G17) Stochastic partial differential equations (aspects of stochastic analysis) (60H15)

Related Items (2)

Stochastic transport equation with bounded and Dini continuous drift ⋮ Strong solutions of stochastic differential equations with square integrable drift

Cites Work

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• Poisson stochastic integration in Banach spaces
• Maximal inequalities of the Itô integral with respect to Poisson random measures or Lévy processes on Banach spaces
• An \(L_p\)-theory of a class of stochastic equations with the random fractional Laplacian driven by Lévy processes
• An \(L_p\)-theory for stochastic partial differential equations driven by Lévy processes with pseudo-differential operators of arbitrary order
• Maximal regularity for stochastic convolutions driven by Lévy processes
• Regular dependence on initial data for stochastic evolution equations with multiplicative Poisson noise
• Sample path properties of stochastic processes
• Conditions for sample-continuity and the central limit theorem
• Sample-continuity of square-integrable processes
• Parabolic SPDEs driven by Poisson white noise
• Introduction to stochastic integration.
• Schauder estimates for stochastic transport-diffusion equations with Lévy processes
• BMO and Morrey-Campanato estimates for stochastic convolutions and Schauder estimates for stochastic parabolic equations
• Stopped Doob inequality forp-th moment, 0 <p<∞, stochastic convolution integrals
• A stopped Doob inequality for stochastic convolution integrals and stochastic evolution equations
• Lévy Processes and Stochastic Calculus
• Some inequalities for martingales and stochastic convolutions
• Properties of Sample Functions for Stochastic Processes and Embedding Theorems
• Maximal Inequalities and Exponential Estimates for Stochastic Convolutions Driven by Lévy-type Processes in Banach Spaces with Application to Stochastic Quasi-Geostrophic Equations
• Stochastic Convolutions Driven by Martingales: Maximal Inequalities and Exponential Integrability
• On the maximal inequalities of Burkholder, Davis and Gundy

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