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math.PR2008★ 3 cited
Regular dependence on initial data for stochastic evolution equations with multiplicative Poisson noise
Carlo Marinelli, Claudia Prévôt, Michael Röckner
We prove existence, uniqueness and Lipschitz dependence on the initial datum for mild solutions of stochastic partial differential equations with Lipschitz coefficients driven by W…
math.AP2008
Strong solutions for stochastic porous media equations with jumps
Viorel Barbu, Carlo Marinelli
We prove global well-posedness in the strong sense for stochastic generalized porous media equations driven by square integrable martingales with stationary independent increments.