1 citations · 2 across the 6 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…
An inhomogeneous nonlinear parabolic equation with concave nonlinearity
Miguel Loayza, Mohamed Majdoub
We establish both the existence and uniqueness of non-negative global solutions for the nonlinear heat equation , , in the whole space $\mathbb{R…
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…
Global Existence for a Nonlinear System with Fractional Laplacian in Banach Space
Miguel Loayza, Paulo R. F. S. Silva
We consider the cauchy problem for the fractional power dissipative equation , where and and is a multilinear form on a Banach s…