2 papers
math.AP2025
Semilinear Equations Including the Mixed Operator
Alaa Ayoub
We study the local and global existence of solutions to a semilinear evolution equation driven by a mixed local-nonlocal operator of the form \( L = -Δ+ (-Δ)^{α/2} \), where \( 0 <…
math.AP2025
Decay of mass for a semilinear heat equation with mixed local-nonlocal operators
Mokhtar Kirane, Ahmad Z. Fino, Alaa Ayoub
In this paper, we are concerned with the Cauchy problem for the reaction-diffusion equation posed on , driven by the mixed…