On evolution PDEs on co-evolving graphs

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 we let it evolve in time, coupling its dynamics with the dynamics on the graph. This is relevant in applications to opi...

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Bibliographic Details
Main Authors: Esposito, A, Mikolás, L
Format: Journal article
Language:English
Published: American Institute of Mathematical Sciences 2024