3 citations · 4 across the 6 of their papers we have counts for
8 papers
Controllability of diffusive Lotka-Volterra strongly competitive systems under boundary constrained controls
Elisa Affili, Enrique Zuazua
We investigate the controllability of the competition-diffusion Lotka-Volterra system. Our primary focus is on the one-dimensional setting with Dirichlet boundary controls, interpr…
Optimal boundary regularity for mixed local and nonlocal equations
Nicola Abatangelo, Elisa Affili, Matteo Cozzi
We provide sharp boundary regularity estimates for solutions to elliptic equations driven by an integro-differential operator obtained as the sum of a Laplacian with a nonlocal ope…
Interpolation and approximation via Momentum ResNets and Neural ODEs
Domènec Ruiz-Balet, Elisa Affili, Enrique Zuazua
In this article, we explore the effects of memory terms in continuous-layer Deep Residual Networks by studying Neural ODEs (NODEs). We investigate two types of models. On one side,…
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…
A New Lotka-Volterra Model of Competition With Strategic Aggression -- Civil Wars When Strategy Comes Into Play
Elisa Affili, Serena Dipierro, Luca Rossi +1
In this monograph, we introduce a new model in population dynamics that describes two species sharing the same environmental resources in a situation of open hostility. The interac…
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…