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…