1 citations · 1 across the 7 of their papers we have counts for
8 papers
Lack of Gevrey solvability for a model operator
Enrico Bernardi
We prove that the Cauchy problem for the model hyperbolic operator in \[ Q=-D_t^2+2xD_tD_y+D_x^2+x^3D_y^2+D_z^2+z^2D_y^2 \] is not locally solvable at the origin, in the…
Large covariance matrix estimation via penalized log-det heuristics
Enrico Bernardi, Matteo Farnè
This paper provides a comprehensive estimation framework for large covariance matrices via a log-det heuristics augmented by a nuclear norm plus -norm penalty. We develop…
On a class of stochastic hyperbolic equations with double characteristics
Enrico Bernardi, Alberto Lanconelli
We study the effect of Gaussian perturbations on a hyperbolic partial differential equation with double characteristics in two spatial dimensions. The coefficients of our partial d…
A note about the invariance of the basic reproduction number for stochastically perturbed SIS models
Enrico Bernardi, Alberto Lanconelli
We try to justify rigorously, using a Wong-Zakai approximation argument, the susceptible-infected-susceptible (SIS) stochastic differential equation proposed in [2]. We discover th…
Stochastic perturbation of a cubic anharmonic oscillator
Enrico Bernardi, Alberto Lanconelli
We perturb with an additive Gaussian white noise the Hamiltonian system associated to a cubic anharmonic oscillator. The stochastic system is assumed to start from initial conditio…
On a class of stochastic differential equations with random and Hölder continuous coefficients arising in biological modeling
Enrico Bernardi, Vinayak Chuni, Alberto Lanconelli
Inspired by the paper Greenhalgh et al. [5] we investigate a class of two dimensional stochastic differential equations related to susceptible-infected-susceptible epidemic models…