Local nondeterminism and the exact modulus of continuity for stochastic wave equation

DOI10.1214/19-ECP264zbMath1422.60058arXiv1906.07308OpenAlexW2972981551MaRDI QIDQ2274115

Yimin Xiao, Cheuk-Yin Lee

Publication date: 19 September 2019

Published in: Electronic Communications in Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1906.07308

zbMATH Keywords

Gaussian random fieldstochastic wave equationuniform modulus of continuitystrong local nondeterminism

Mathematics Subject Classification ID

Gaussian processes (60G15) Sample path properties (60G17) Stochastic partial differential equations (aspects of stochastic analysis) (60H15)

Related Items (5)

Local nondeterminism and local times of the stochastic wave equation driven by fractional-colored noise ⋮ Exact uniform modulus of continuity for \(q\)-isotropic Gaussian random fields ⋮ Propagation of singularities for the stochastic wave equation ⋮ The Hausdorff measure of the range and level sets of Gaussian random fields with sectorial local nondeterminism ⋮ Chung-type law of the iterated logarithm and exact moduli of continuity for a class of anisotropic Gaussian random fields

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