6 citations · 6 across the 3 of their papers we have counts for
4 papers · 1 filter
Blow-up for a double nonlocal heat equation
Raúl Ferreira, Arturo de Pablo
We study the blow-up question for the diffusion equation involving a nonlocal derivative in time defined by convolution with a nonnegative and nonincreasing kernel, and a nonlocal…
Positivity and asymptotic behaviour of solutions to a generalized nonlocal fast diffusion equation
Arturo de Pablo, Fernando Quirós, Jorge Ruiz-Cases
We study the positivity and asymptotic behaviour of nonnegative solutions of a general nonlocal fast diffusion equation, \[\partial_t u + \mathcal{L}φ(u) = 0,\] and the interplay b…
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 for , , $a(x)=\…
Classical solutions for a logarithmic fractional diffusion equation
Arturo de Pablo, Fernando Quirós, Ana Rodríguez +1
We prove global existence and uniqueness of strong solutions to the logarithmic porous medium type equation with fractional diffusion posed…