Hitting probabilities for nonlinear systems of stochastic waves

DOI10.1090/memo/1120zbMath1390.60230arXiv1205.3041OpenAlexW2086969809MaRDI QIDQ2944987

Robert C. Dalang, Marta Sanz-Solé

Publication date: 9 September 2015

Published in: Memoirs of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1205.3041

zbMATH Keywords

capacityHausdorff measurehitting probabilitiesspatially homogeneous Gaussian noisesystems of stochastic wave equations

Mathematics Subject Classification ID

Random fields (60G60) Gaussian processes (60G15) Probabilistic potential theory (60J45) Stochastic calculus of variations and the Malliavin calculus (60H07) Stochastic partial differential equations (aspects of stochastic analysis) (60H15)

Related Items (11)

Influence of numerical discretizations on hitting probabilities for linear stochastic parabolic systems ⋮ Hölder continuity for parabolic Anderson equation with non-Gaussian noise ⋮ Approximation of a stochastic wave equation in dimension three, with application to a support theorem in Hölder norm: the non-stationary case ⋮ Optimal Hölder continuity and hitting probabilities for SPDEs with rough fractional noises ⋮ Can the stochastic wave equation with strong drift hit zero? ⋮ Hitting probabilities of a Brownian flow with radial drift ⋮ Hitting probabilities of Gaussian random fields and collision of eigenvalues of random matrices ⋮ Optimal regularity of SPDEs with additive noise ⋮ Logarithmic Asymptotics of the Densities of SPDEs Driven by Spatially Correlated Noise ⋮ Polarity of almost all points for systems of nonlinear stochastic heat equations in the critical dimension ⋮ Anisotropic Gaussian random fields: criteria for hitting probabilities and applications

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