3 papers
math.PR2025
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…
math.AP2025
Heat content asymptotics for sets with positive reach
Paolo De Fazio, Michele Miranda
In this paper we study the heat content for sets with positive reach. In details, we investigate the asymptotic behavior of the heat content of bounded subsets of the Euclidean spa…
math.FA2025
Second Quantization and Evolution Operators in infinite dimension
Davide Addona, Paolo De Fazio
In an infinite dimensional separable Hilbert space , we study compactness properties and the hypercontractivity of the Ornstein-Uhlenbeck evolution operators in the sp…