E. Nualart

activity

20042025

most citedHitting Probabilities for Systems of Non-Linear Stochastic Heat Equations with Additive Noise

71 citations · 178 across the 32 of their papers we have counts for

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Showing 2012 · math.PRShow all

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math.PR2012★ 1 cited

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

Robert C. Dalang, Davar Khoshnevisan, Eulalia Nualart

We consider a system of $d$ non-linear stochastic heat equations in spatial dimension $k \geq 1$ , whose solution is an $R^{d}$ -valued random field $u= \{u(t\,,x),\, (t,x) \in \R_+ \…

math.PR2012★ 1 cited

Existence and regularity of the density for the solution to semilinear dissipative parabolic SPDEs

Carlo Marinelli, Eulalia Nualart, Lluís Quer-Sardanyons

We prove existence and smoothness of the density of the solution to a nonlinear stochastic heat equation on $L^{2} (O)$ (evaluated at fixed points in time and space), where…

Hitting probabilities for systems of non-linear stochastic heat equations in spatial dimension k≥1

Existence and regularity of the density for the solution to semilinear dissipative parabolic SPDEs

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