Marco Gallo

Quantitative and exact concavity principles for parabolic and elliptic equations

Abstract Goal of this paper is to study classes of Cauchy–Dirichlet problems which include parabolic equations of the type \begin{equation*}u_t -\Delta u= a(x,t)f(u)\quad\hbox{in}\ \Omega\times(0,T)\end{equation*} u t − Δ u = a ( x , t ) f ( u ) in Ω × ( 0 , T ) with upper Omega...