35 citations · 42 across the 11 of their papers we have counts for
14 papers
Fractional heat equation involving Hardy-Leray Potential
Boumediene Abdellaoui, Giovanni Siclari, Ana Primo
In this paper we analyse the existence and non-existence of non-negative solutions to a non-local parabolic equation with a Hardy-Leray type potential. More precisely, we consider…
On fractional parabolic equations with Hardy-type potentials
Veronica Felli, Ana Primo, Giovanni Siclari
A classification of local asymptotic profiles and strong unique continuation properties are established for a class of fractional heat equations with a Hardy-type potential, via an…
Fractional KPZ equations with critical growth in the gradient respect to Hardy potential
Boumediene Abdellaoui, Ireneo Peral, Ana Primo +1
In this work we study the existence of positive solution to the fractional quasilinear problem, $$ \left\{ \begin{array}{rcll} (-Δ)^s u &=&λ\dfrac{u}{|x|^{2s}}+ |\nabla u|^{p}+ μf…
A note on the Fujita exponent in Fractional heat equation involving the Hardy potential
Boumediene Abdellaoui, Ireneo Peral, Ana Primo
In this work, we are interested on the study of the Fujita exponent and the meaning of the blow-up for the Fractional Cauchy problem with the Hardy potential, namely, \begin{equati…
On the KPZ equation with fractional diffusion: global regularity and existence results
Boumediene Abdellaoui, Ireneo Peral, Ana Primo +1
In this work we analyze the existence of solutions to the fractional quasilinear problem, $$ (P) \left\{ \begin{array}{rcll} u_t+(-Δ)^s u &=&|\nabla u|^α+ f &\inn Ω_T\equivΩ\times…
On parabolic equations with critical electromagnetic potentials
Veronica Felli, Ana Primo
We consider a class of parabolic equations with critical electromagnetic potentials, for which we obtain a classification of local asymptotics, unique continuation results, and an…