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math.AP2022★ 1 cited
Global solution for a coupled parabolic system with degenerate coefficients and time-weighted sources
Ricardo Castillo, Omar Guzmán-Rea, Miguel Loayza +1
In this paper, we obtain the so-called Fujita exponent to the following parabolic system with time-weighted sources and degenerate coefficients $ u_{t}- \mbox{div} ( ω(x)\nabla { u…
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…
math.AP2022
Existence and non-existence of global solutions for a heat equation with degenerate coefficients
Ricardo Castillo, Omar Guzmán-Rea, María Zegarra
In this paper, we will study the following parabolic problem with non-negative initial conditions pertaining to $C_b(\mathbb{R}^N)…