Zobrazeno 1 - 10
of 19
pro vyhledávání: '"Affili, Elisa"'
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, we consider the case of Residual Neural Networks with dependence on m
Externí odkaz:
http://arxiv.org/abs/2110.08761
Autor:
Affili, Elisa
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 elements and the interaction between species is read into the role of he
Externí odkaz:
http://arxiv.org/abs/2101.10925
Autor:
Affili, Elisa
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 coupled reaction-diffusion equations set in domains of different dimension
Externí odkaz:
http://arxiv.org/abs/2009.14760
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 interactions among these populations are described not in terms of random enc
Externí odkaz:
http://arxiv.org/abs/2009.14707
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 a Lebesgue space, and the setting comprises time-fractional and space
Externí odkaz:
http://arxiv.org/abs/1812.09451
Autor:
Affili, Elisa, Valdinoci, Enrico
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 setting, which comprise, among the others, equations involving both standa
Externí odkaz:
http://arxiv.org/abs/1807.10041
Publikováno v:
In Systems & Control Letters April 2022 162
Autor:
Affili, Elisa, Valdinoci, Enrico
Publikováno v:
In Journal of Differential Equations 15 March 2019 266(7):4027-4060
Autor:
Affili, Elisa, Kemppainen, Jukka T.
We are addressing a parabolic equation with fractional derivatives in time and space that governs the scaling limit of continuous-time random walks with anomalous diffusion. For these equations, the fundamental solution represents the probability den
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7549aa66040bd3be7504c2ae5d20e861
Autor:
Bacaër, Nicolas, Flora, Bruno Felice Filippo, Castin, Yvan, Iannelli, Mimmo, Affili, Elisa, Buonomo, Bruno, Margheri, Alessandro, Poletto, Chiara, Rossi, Luca, Venturino, Ezio
Publikováno v:
[s.n.], 159 p., 2021, 9791034351398
Come ha sottolineato Eugene Wigner, la matematica si è dimostrata efficace, oltre ogni ragionevole aspettativa, nelle scienze fisiche e nelle loro applicazioni tecnologiche. Il ruolo della matematica nelle scienze biologiche, mediche e sociali è st
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::9a615b153eabe019a1de20df185e6dbd
https://hal.archives-ouvertes.fr/hal-03313544
https://hal.archives-ouvertes.fr/hal-03313544