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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…
math.AP2026
Attractor Continuity for Semilinear Parabolic Equations on Thin Domains with Degenerating Outward Peaks
Elaine A. Tavares-Lima, Bianca Lorenzi, Marcone C. Pereira
In this work, we analyze the asymptotic behavior of the attractors associated with a semilinear parabolic equation subject to homogeneous Neumann boundary conditions and defined on…