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math.AP2012
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…
math.AP2012★ 2 cited
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,…