3 citations · 4 across the 3 of their papers we have counts for
3 papers
math.AP2009★ 1 cited
Convergence of perturbed Allen-Cahn equations to forced mean curvature flow
Luca Mugnai, Matthias Röger
We study perturbations of the Allen-Cahn equation and prove the convergence to forced mean curvature flow in the sharp interface limit. We allow for perturbations that are square-i…
math.AP2007★ 3 cited
The Allen-Cahn Action functional in higher dimensions
Luca Mugnai, Matthias Röger
The Allen-Cahn action functional is related to the probability of rare events in the stochastically perturbed Allen-Cahn equation. Formal calculations suggest a reduced action func…
math.FA2007
Sobolev regularity and an enhanced Jensen inequality
Mark A. Peletier, Robert Planqué, Matthias Röger
We derive a new criterion for a real-valued function to be in the Sobolev space . This criterion consists of comparing the value of a functional with…