1 citations · 1 across the 3 of their papers we have counts for
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Evolution equations on co-evolving graphs: long-time behaviour and the graph continuity equation
José Antonio Carrillo, Antonio Esposito, László Mikolás
We focus on evolution equations on co-evolving, infinite, graphs and establish a rigorous link with a class of nonlinear continuity equations, whose vector fields depend on the gra…
Nonlocal particle approximation for linear and fast diffusion equations
José Antonio Carrillo, Antonio Esposito, Jakub Skrzeczkowski +1
We construct deterministic particle solutions for linear and fast diffusion equations using a nonlocal approximation. We exploit the -Wasserstein gradient flow structure of the…
On evolution PDEs on co-evolving graphs
Antonio Esposito, László Mikolás
We provide a well-posedness theory for a class of nonlocal continuity equations on co-evolving graphs. We describe the connection among vertices through an edge weight function and…
Measure solutions to a system of continuity equations driven by Newtonian nonlocal interactions
J. A. Carrillo, M. Di Francesco, A. Esposito +2
We prove global-in-time existence and uniqueness of measure solutions of a nonlocal interaction system of two species in one spatial dimension. For initial data including atomic pa…