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math.AP2025
Global and nonglobal solutions for a mixed local-nonlocal heat equation
Brandon Carhuas, Ricardo Castillo, Ricardo Freire +2
In this work, we establish optimal conditions concerning the global and nonglobal existence of solutions of a semilinear parabolic equations governed by a mixed local-nonlocal oper…
math.AP2025
Blow-up and global mild solutions for a Hardy-Hénon parabolic equation on the Heisenberg group
Ricardo Castillo, Ricardo Freire, Miguel Loayza
We are concerned with the existence of global and blow-up solutions for the nonlinear parabolic problem described by the Hardy-Hénon equation $u_t - Δ_{\mathbb{H}} u = |\cdot|_{\ma…