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math.AP2026
Parabolic--Elliptic Dynamics with Local--Nonlocal Coupled Operators
Luiza Camile Rosa da Silva, Julio Daniel Rossi
In this paper, we study two local--nonlocal settings for parabolic--elliptic evolution systems. In our problems we have a disjoint partition of the spacial domain as $Ω=A\cup B…
math.AP2026
Periodic Homogenization of Local/Nonlocal Systems
Marcone C. Pereira, Luiza C. Rosa da Silva, Julio D. Rossi
In this paper, we study the homogenization of elliptic equations that combine a local part, given by the Laplacian with Neumann boundary conditions, and its nonlocal version, defin…