4 papers · 1 filter
A method of moving planes for a mixed local-nonlocal parabolic system with quenching
Sergio Junquera, Leandro M. Del Pezzo
In this paper we develop a parabolic version of the method of moving planes on systems with a mixed local and nonlocal diffusion operator, that being , w…
Interior regularity of mixed local-nonlocal parabolic semilinear equations
Sergio Junquera, Leandro M. Del Pezzo
In this paper we prove the existence, uniqueness and regularity of classical solutions \break of a semilinear parabolic equation with a mixed local and nonlocal diffusion operator…
A non-local quenching system with coupled and uncoupled singular absorption terms
Sergio Junquera
In this paper we study a non-local diffusion system of two equations with both coupled and uncoupled singular absorption terms of the type . We prove that there exist neces…
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…