7 citations · 12 across the 2 of their papers we have counts for
2 papers
math.AP2022★ 7 cited
On a Class of Nonlocal Continuity Equations on Graphs
A. Esposito, F. S. Patacchini, A. Schlichting
Motivated by applications in data science, we study partial differential equations on graphs. By a classical fixed-point argument, we show existence and uniqueness of solutions to…
math.AP2020★ 5 cited
Well-posedness and asymptotic behaviour of an aggregation model with intrinsic interactions on sphere and other manifolds
Razvan C. Fetecau, Hansol Park, Francesco S. Patacchini
We investigate a model for collective behaviour with intrinsic interactions on Riemannian manifolds. We establish the well-posedness of measure solutions (defined via mass transpor…