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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…