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math.PR2010
Weak nonmild solutions to some SPDEs
Daniel Conus, Davar Khoshnevisan
We study the nonlinear stochastic heat equation driven by space-time white noise in the case that the initial datum is a (possibly signed) measure. In this case, one cannot o…
math.PR2010
On the existence and position of the farthest peaks of a family of stochastic heat and wave equations
Daniel Conus, Davar Khoshnevisan
We study a family of non-linear stochastic heat equations in (1+1) dimensions, driven by the generator of a Lévy process and space-time white noise. We assume that the underlying L…