23 citations · 37 across the 14 of their papers we have counts for
14 papers
Macroscopic fluctuation theory from a Lagrangian viewpoint and the Schrödinger problem
L. Bertini, D. Gabrielli, R. Chetrite +1
We formulate the Schrödinger problem for interacting particle systems in the hydrodynamical regime thus extending the standard setting of independent particles. This involves the l…
Cauchy-Dirichlet problems for a class of hypoelliptic equation in : q new probabilistic representation formula for the gradient of the solutions
Giuseppe Da Prato, Luciano Tubaro
We prove the existence and a new representation formula for the gradient of the semigroup associated to an Ornstein-Uhlenbeck in a bounded convex domain in d dimensions.
On the law of the minimum of the solutions to a class of unidimensional SDEs
Giuseppe Da Prato, Alessandra Lunardi, Luciano Tubaro
We prove that the law of the minimum of the solution to a one-dimensional ODE with good nonlinearity has continuous density with respect to the Lebes…
Existence of the Fomin derivative of the invariant measure of a stochastic reaction--diffusion equation
Giuseppe Da Prato, Arnaud Debussche
We consider a reaction--diffusion equation perturbed by noise (not necessarily white). We prove existence of the Fomin derivative of the corresponding transition semigroup . T…
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,…