Chong, CarstenDalang, Robert C.Humeau, Thomas2019-03-142019-03-142019-03-142019-03-0110.1007/s40072-018-0124-yhttps://infoscience.epfl.ch/handle/20.500.14299/155583WOS:000459903800005We consider sample path properties of the solution to the stochastic heat equation, in Rd or bounded domains of Rd, driven by a Levy space-time white noise. When viewed as a stochastic process in time with values in an infinite-dimensional space, the solution is shown to have a cadlag modification in fractional Sobolev spaces of index less than - Concerning the partial regularity of the solution in time or space when the other variable is fixed, we determine critical values for the Blumenthal-Getoor index of the Levy noise such that noises with a smaller index entail continuous sample paths, while Levy noises with a larger index entail sample paths that are unbounded on any non-empty open subset. Our results apply to additive as well as multiplicative Levy noises, and to light- as well as heavy-tailed jumps.Statistics & ProbabilityMathematicsstochastic pdescadlag modificationlevy noisesample path propertiesstable noiseregularitydrivenirregularityintegralstheoremspacetext::journal::journal article::research article