Some existence and regularity results for porous media and fast diffusion equations with a gradient term
Boumediene Abdellaoui, Ireneo Peral, Magdalena Walias · Transactions of the American Mathematical Society · 2015
In this article we consider the problem (\textit {P}) { u t − Δ u m a m p ; = a m p ; | ∇ u | q + f ( x , t ) , u ≥ 0 a m p ; in Ω T ≡ Ω × ( 0 , T ) , u ( x , t ) a m p ; = a m p ; 0 a m p ; on ∂ Ω × ( 0