1 citations · 1 across the 2 of their papers we have counts for
3 papers
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
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)…
math.AP2017
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…