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math.AP2019
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…
math.AP2019
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…