6 papers
Stochastic dissipative systems in Banach spaces driven by Lévy noise
Davide A. Bignamini, Enrico Priola
In this paper, we are interested in the well-posedness of stochastic reaction diffusion equations like \begin{equation} \begin{cases} dX(t)(ξ)=\big(Î_ξX(t)(ξ)-p(X(t)(ξ))\big)d…
Pathwise uniqueness by noise for singular stochastic PDEs
Davide Addona, Davide Bignamini, Carlo Orrieri +1
Pathwise uniqueness for stochastic PDEs with drift in differential form is a main open problem in the recent literature on regularisation by noise. This paper establishes a self-co…
Stochastic and deterministic non-autonomous reaction-diffusion equations
Davide A. Bignamini, Paolo De Fazio
In this paper we prove the well-posedness of non-autonomous deterministic and stochastic reaction-diffusion equations with a polynomial reaction term. Concerning the stochastic pro…
Pathwise uniqueness for stochastic heat and damped equations with Hölder continuous drift
Davide Addona, Davide A. Bignamini
In this paper, we prove pathwise uniqueness for stochastic differential equations in infinite dimension. Under our assumptions, we are able to consider the stochastic heat equation…
Pathwise uniqueness in infinite dimension under weak structure conditions
Davide Addona, Davide Augusto Bignamini
Let be two separable Hilbert spaces and . We consider an SDE which evolves in the Hilbert space of the form \begin{align} dX(t)=AX(t)dt+\widetilde{\mathscr L}B(X(t))…
Weak uniqueness for stochastic partial differential equations in Hilbert spaces
Davide Addona, Davide Augusto Bignamini
Let be two separable Hilbert spaces. The main goal of this paper is to study the weak uniqueness of the Stochastic Differential Equation evolving in \begin{align*} dX(t)=…