3 papers
math.DG2026
Coordinate isoperimetric mass and a positive mass theorem for distributional scalar curvature
Melanie Graf, Eduardo Hafemann
Extending the well-known Riemannian positive mass theorem to low-regularity metrics is an ongoing effort, starting from the early 2000s, that has recently seen renewed interest. Co…
math.DG2025
Hawking's singularity theorem for Lipschitz Lorentzian metrics
Matteo Calisti, Melanie Graf, Eduardo Hafemann +2
We prove Hawking's singularity theorem for spacetime metrics of local Lipschitz regularity. The proof rests on (1) new estimates for the Ricci curvature of regularising smooth metr…
math.AP2018
A vanishing dynamic capillarity limit equation with discontinuous flux
Melanie Graf, Michael Kunzinger, Darko Mitrovic +1
We prove existence and uniqueness of a solution to the Cauchy problem corresponding to the equation \begin{equation*} \begin{cases} \partial_t u_{\varepsilon,δ} +\mathrm{div} {\mat…