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math.AP2012
Approximation and convergence of solutions to semilinear stochastic evolution equations with jumps
Carlo Marinelli, Luca Di Persio, Giacomo Ziglio
We prove that the mild solution to a semilinear stochastic evolution equation on a Hilbert space, driven by either a square integrable martingale or a Poisson random measure, is (j…
math.AP2009
Ergodicity for nonlinear stochastic evolution equations with multiplicative Poisson noise
Carlo Marinelli, Giacomo Ziglio
We study the asymptotic behavior of solutions to stochastic evolution equations with monotone drift and multiplicative Poisson noise in the variational setting, thus covering a lar…
math.AP2007
Stochastic FitzHugh-Nagumo equations on networks with impulsive noise
Stefano Bonaccorsi, Carlo Marinelli, Giacomo Ziglio
We consider a system of nonlinear partial differential equations with stochastic dynamical boundary conditions that arises in models of neurophysiology for the diffusion of electri…