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math.AP2025
Quenching phenomena in a system of non-local diffusion equations
José M. Arrieta, Raúl Ferreira, Sergio Junquera
In this paper we study the quenching phenomena occurring in a non-local diffusion system of two equations with intertwined singular absorption terms of the type . We prove…
math.AP2024★ 5 cited
Fujita exponent and blow-up rate for a mixed local and nonlocal heat equation
L. Del Pezzo, R. Ferreira
In this paper we consider the blow-up problem for a mixed local-nonlocal diffusion operator, \[ u_t=aΔu -b(-Δ)^s u+u^p. \] We show that the Fujita exponent is given by the nonlocal…
math.AP2009★ 1 cited
Isothermalization for a Non-local Heat Equation
Emmanuel Chasseigne, Raul Ferreira
n this paper we study the asymptotic behavior for a nonlocal heat equation in an inhomogenous medium: where is a…