3 papers
math.CV2018
Stability of solutions to complex Monge-Ampere flows
Vincent Guedj, Hoang Chinh Lu, Ahmed Zeriahi
We establish a stability result for elliptic and parabolic complex Monge-Amp{è}re equations on compact K{ä}hler manifolds, which applies in particular to the K{ä}hler-Ricci flow. D…
math.DG2018
The pluripotential Cauchy-Dirichlet problem for complex Monge-Ampere flows
Vincent Guedj, Hoang Chinh Lu, Ahmed Zeriahi
We develop the first steps of a parabolic pluripotential theory in bounded strongly pseudo-convex domains of Cn. We study certain degenerate parabolic complex Monge-Amp{è}re equati…
math.CV2018
Pluripotential kahler-ricci flows
Vincent Guedj, Hoang Chinh Lu, Ahmed Zeriahi
We develop a parabolic pluripotential theory on compact K{ä}hler manifolds, defining and studying weak solutions to degenerate parabolic complex Monge-Amp{è}re equations. We provid…