3 citations · 3 across the 2 of their papers we have counts for
4 papers · 1 filter
Evolution equations with applications to population dynamics
Elisa Affili
The main topic of this thesis is the analysis of evolution equations reflecting issues in ecology and population dynamics. In mathematical modelling, the impact of environmental el…
A Fisher-KPP model with a fast diffusion line in periodic media
Elisa Affili
We treat a model of population dynamics in a periodic environment presenting a fast diffusion line. This phenomenon is modelled via a "road-field" system, which is a system of coup…
Decay estimates in time for classical and anomalous diffusion
Elisa Affili, Serena Dipierro, Enrico Valdinoci
We present a series of results focused on the decay in time of solutions of classical and anomalous diffusive equations in a bounded domain. The size of the solution is measured in…
Decay estimates for evolution equations with classical and fractional time-derivatives
Elisa Affili, Enrico Valdinoci
Using energy methods, we prove some power-law and exponential decay estimates for classical and nonlocal evolutionary equations. The results obtained are framed into a general sett…