Khoshnevisan, DavarNualart, Eulàlia2018-04-182018-04-182008Khoshnevisan D, Nualart E. Level sets of the stochastic wave equation driven by a symmetric Lévy noise. Bernoulli. 2008;14(4):899-925. DOI: 10.3150/08-BEJ1331350-7265http://hdl.handle.net/10230/34389We consider the solution {u(t, x); t≥0, x∈R} of a system of d linear stochastic wave equations driven by a d-dimensional symmetric space-time Lévy noise. We provide a necessary and sufficient condition on the characteristic exponent of the Lévy noise, which describes exactly when the zero set of u is non-void. We also compute the Hausdorff dimension of that zero set when it is non-empty. These results will follow from more general potential-theoretic theorems on the level sets of Lévy sheets.application/pdfeng© 2008 ISI/BSinfo:eu-repo/semantics/articlehttp://dx.doi.org/10.3150/08-BEJ133Level setsLévy noisePotential theoryStochastic wave equationinfo:eu-repo/semantics/openAccess