3 papers
math.AP2023
Heat-type equations on manifolds with fibered boundaries II: Parametrix construction
Bruno Caldeira, Giuseppe Gentile
This is the second part of a two parts work on the analysis of heat-type equations on manifolds with fibered boundary equipped with a -metric. This setting generalizes the asymp…
math.AP2022
Heat-type equations on manifolds with fibered boundary I: Schauder estimates
Bruno Caldeira, Giuseppe Gentile
In this paper we prove parabolic Schauder estimates for the Laplace-Beltrami operator on a manifold with fibered boundary and a -metric . This setting generalizes the a…
math.DG2022
Prescribed mean curvature flow of non-compact space-like Cauchy hypersurfaces
Giuseppe Gentile, Boris Vertman
In this paper we consider the prescribed mean curvature flow of a non-compact space-like Cauchy hypersurface of bounded geometry in a generalized Robertson-Walker space-time. We pr…