3 papers
math.AP2026
Global and nonglobal solutions for an abstract semilinear heat equation
Ricardo Castillo, Ricardo Freire, Miguel Loayza
In this paper, we focus on the existence of both global and non-global nonnegative solutions for the abstract semilinear heat equation in…
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…