R. Ferreira

activity

20102022

most citedEigenvalues for a combination between local and nonlocal

p -

Laplacians

27 citations · 27 across the 4 of their papers we have counts for

collaborators

7 papers

math.AP2022

Blow-up for a fully fractional heat equation

Raúl Ferreira, Arturo de Pablo

We study the existence and behaviour of blowing-up solutions to the fully fractional heat equation $M u = u^{p}, x \in R^{N}, 0 < t < T$ with $p > 0$ , where $\mathc…

math.AP2022

Non-simultaneous blow-up for a system with local and non-local diffusion

Leandro M. Del Pezzo, Raul Ferreira

We study the possibility of non-simultaneous blow-up for positive solutions of a coupled system of two semilinear equations, $u_{t} = J * u - u + u^{α} v^{p}$ , $v_{t} = Δ v^{+} u^{q} v^{β}$ , $p, q, α, β>0…

math.AP2021

A nonlinear diffusion equation with reaction localized to the half-line

Raúl Ferreira, Arturo de Pablo

We study the behaviour of the solutions to the quasilinear heat equation with a reaction restricted to a half-line $u_{t} = (u^{m})_{xx} + a (x) u^{p},$ $m, p > 0$ and $a (x) = 1$ for $x > 0$ , $…

math.AP2018★ 27 cited

Eigenvalues for a combination between local and nonlocal $p -$ Laplacians

Leandro M. Del Pezzo, Raul Ferreira, Julio Rossi

In this paper we study the Dirichlet eigenvalue problem $- Δ_{p} u - Δ_{J, p} u = λ ∣ u ∣^{p - 2} u in Ω, u = 0 in Ω^{c} = R^{N} ∖ Ω.$ Here $Δ_{p} u$ i…

math.AP2018

Grow-up for a quasilinear heat equation with a localized reaction in higher dimensions

Raul Ferreira, Arturo de Pablo

We study the behaviour of nonnegative solutions to the quasilinear heat equation with a reaction localized in a ball $u_{t} = Δ u^{m} + a (x) u^{p},$ for $m > 0$ , $0 < p \leq max {1, m}$ , $a(x)=\…

math.AP2018

Grow-up for a quasilinear heat equation with a localized reaction

Raul Ferreira, Arturo de Pablo

We study the behaviour of global solutions to the quasilinear heat equation with a reaction localized $u_{t} = (u^{m})_{xx} + a (x) u^{p},$ $m, p > 0$ and $a (x)$ being the characteristic fu…

math.AP2010

Unbounded solutions of the nonlocal heat equation

Cristina Brändle, Emmanuel Chasseigne, Raul Ferreira

We consider the Cauchy problem posed in the whole space for the following nonlocal heat equation: u_t = J * u - u, where J is a symmetric continuous probability density. Depending…