16 citations · 46 across the 33 of their papers we have counts for
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A Smoluchowski-Kramers approximation for an infinite dimensional system with state-dependent damping
Sandra Cerrai, Guangyu Xi
We study the validity of a Smoluchowski-Kramers approximation for a class of wave equations in a bounded domain of subject to a state-dependent damping and perturbed…
Schauder theorems for Ornstein-Uhlenbeck equations in infinite dimension
Sandra Cerrai, Alessandra Lunardi
We prove Schauder type estimates for stationary and evolution equations driven by the classical Ornstein-Uhlenbeck operator in a separable Banach space, endowed with a centered Gau…
Pathwise uniqueness for stochastic reaction-diffusion equations in Banach spaces with an Hölder drift component
Sandra Cerrai, Giuseppe Da Prato, Franco Flandoli
We prove pathwise uniqueness for an abstract stochastic reaction-diffusion equation in Banach spaces. The drift contains a bounded Hölder term; in spite of this, due to the space-t…
A basic identity for Kolmogorov operators in the space of continuous functions related to RDEs with multiplicative noise
Sandra Cerrai, Giuseppe Da Prato
We consider the Kolmogorov operator associated with a reaction-diffusion equation having polynomially growing reaction coefficient and perturbed by a noise of multiplicative type,…