1 citations · 2 across the 5 of their papers we have counts for
7 papers
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…
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…
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…
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…
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…
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)…
Interior Sobolev regularity for fully nonlinear parabolic equations
Ricardo Castillo, Edgard A. Pimentel
In the present paper, we establish sharp Sobolev estimates for solutions of fully nonlinear parabolic equations, under minimal, asymptotic, assumptions on the governing operator. I…