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math.AP2022
Galerkin-type methods for strictly parabolic equations on compact Riemannian manifolds
Melanie Graf, Michael Kunzinger, Darko Mitrovich
We prove existence of weak solutions to the Cauchy problem corresponding to various strictly parabolic equations on a compact Riemannian manifold . This also includes strict…
gr-qc2022★ 5 cited
Hawking-type singularity theorems for worldvolume energy inequalities
Melanie Graf, Eleni-Alexandra Kontou, Argam Ohanyan +1
The classical singularity theorems of R. Penrose and S. Hawking from the 1960s show that, given a pointwise energy condition (and some causality as well as initial assumptions), sp…