71 citations · 79 across the 5 of their papers we have counts for
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A Local time correspondence for stochastic partial differential equations
Mohammud Foondun, Davar Khoshnevisan, Eulalia Nualart
It is frequently the case that a white-noise-driven parabolic and/or hyperbolic stochastic partial differential equation (SPDE) can have random-field solutions only in spatial dime…
The fractional stochastic heat equation on the circle: Time regularity and potential theory
Eulalia Nualart, Frederi Viens
We consider a system of linear stochastic heat equations driven by an additive infinite-dimensional fractional Brownian noise on the unit circle . We obtain sharp results…
Level sets of the stochastic wave equation driven by a symmetric Lévy noise
Davar Khoshnevisan, Eulalia Nualart
We consider the solution of a system of linear stochastic wave equations driven by a -dimensional symmetric space-time Lévy noise. We prov…
Hitting probabilities for systems of non-linear stochastic heat equations with multiplicative noise
Robert C. Dalang, Davar Khoshnevisan, Eulalia Nualart
We consider a system of d non-linear stochastic heat equations in spatial dimension 1 driven by d-dimensional space-time white noise. The non-linearities appear both as additive dr…
Hitting Probabilities for Systems of Non-Linear Stochastic Heat Equations with Additive Noise
Robert C. Dalang, Davar Khoshnevisan, Eulalia Nualart
We consider a system of coupled non-linear stochastic heat equations in spatial dimension 1 driven by -dimensional additive space-time white noise. We establish upper and lo…