Hitting probabilities for systems of non-linear stochastic heat equations in spatial dimension \(k\geq 1\)

DOI10.1007/s40072-013-0005-3zbMath1274.60199arXiv1206.7003OpenAlexW2169422958MaRDI QIDQ373232

Robert C. Dalang, Davar Khoshnevisan, Eulalia Nualart

Publication date: 22 October 2013

Published in: Stochastic and Partial Differential Equations. Analysis and Computations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1206.7003

zbMATH Keywords

Malliavin calculushitting probabilitiesspatially homogeneous Gaussian noisesystems of non-linear stochastic heat equations

Mathematics Subject Classification ID

Random fields (60G60) 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 ⋮ Hitting probabilities and the Hausdorff dimension of the inverse images of a class of anisotropic random fields ⋮ Optimal Hölder continuity and hitting probabilities for SPDEs with rough fractional noises ⋮ Hitting probabilities of a class of Gaussian random fields ⋮ Hitting probabilities and intersections of time-space anisotropic random fields ⋮ Hitting probabilities for nonlinear systems of stochastic waves ⋮ Optimal lower bounds on hitting probabilities for stochastic heat equations in spatial dimension \(k \geq 1\) ⋮ Hitting probabilities of Gaussian random fields and collision of eigenvalues of random matrices ⋮ Optimal regularity of SPDEs with additive noise ⋮ Criteria for hitting probabilities with applications to systems of stochastic wave equations ⋮ On the density of systems of non-linear spatially homogeneous SPDEs

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