We study asymptotic behavior in a class of non-autonomous second order parabolic equations with time periodic unbounded coefficients in R Ã— R d. Our results generalize and improve asymptotic behaviorâ€¦ (More)

We study a thermo-diffusive combustion model for premixed flames propagating in reactive gaseous mixtures which contain inert dust. As observed by Joulin, radiative transfer of heat may significantlyâ€¦ (More)

We characterize the domain of the realizations of the linear parabolic operator G defined by (1.4) in L spaces with respect to a suitable measure, that is invariant for the associated evolutionâ€¦ (More)

We study a class of elliptic operators A with unbounded coefficients defined in I Ã— R for some unbounded interval I âŠ‚ R. We prove that, for any s âˆˆ I, the Cauchy problem u(s, Â·) = f âˆˆ Cb(R ) for theâ€¦ (More)

In this paper we investigate a class of nonautonomous linear parabolic problems with time-depending Ornstein-Uhlenbeck operators. We study the asymptotic behavior of the associated evolution operatorâ€¦ (More)

Acknowledgments It is a great pleasure to thank Professor Frank Neubrander for the suggestion of the topic, his continuous support and unique style of guidance over the years. It is also a pleasureâ€¦ (More)

We study the validity of an averaging principle for a slow-fast system of stochastic reaction-diffusion equations. We assume here that the coefficients of the fast equation depend on time, so thatâ€¦ (More)

We compare the perimeter measure with the Airault-Malliavin surface measure and we prove that all open convex subsets of abstract Wiener spaces have finite perimeter. By an explicit counterâ€“example,â€¦ (More)

We study a class of nonautonomous, linear, parabolic equations with unbounded coefficients on Rd which admit an evolution system of measures. It is shown that the solutions of these equationsâ€¦ (More)