A Kolmogorov type theorem for stochastic fields

Published 14 Nov 2019 in math.PR | (1911.05868v1)

Abstract: We generalize the Kolmogorov continuity theorem and prove the continuity of a class of stochastic fields with the parameter. As an application, we derive the continuity of solutions for nonlocal stochastic parabolic equations driven by non-Gaussian L\'{e}vy noises.

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