2 papers
math.DS2024
Non-sufficiency of smoothness in the gradient conjecture
Florian Gruen
It is well known that for analytic cost functions, gradient flow trajectories have finite length and converge to a single critical point. The gradient conjecture of R. Thom states…
math.AP2024
Continuity up to the boundary for minimizers of the one-phase Bernoulli problem
Xavier Fernández-Real, Florian Gruen
We prove new boundary regularity results for minimizers to the one-phase Alt-Caffarelli functional (also known as Bernoulli free boundary problem) in the case of continuous and Höl…