1 citations · 1 across the 2 of their papers we have counts for
2 papers
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.AP2022★ 1 cited
on a second critical value for the local existence of solutions in lebesgue spaces
Brandon Carhuas-Torre, Ricardo Castillo, Miguel Loayza
We provide new conditions for the local existence of solutions to the time-weighted parabolic equation $ u_t - Δu = h(t)f(u) \mbox{ in } Ω\times (0,T),$ where is a arbitrary s…