Abstract
We consider a mesoscopic model of phase transitions and investigate the geometric properties of the interfaces of the associated minimal solutions. We provide density estimates for level sets and, in the periodic setting, we construct minimal interfaces at a universal distance from any given hyperplane.
| Original language | English |
|---|---|
| Pages (from-to) | 777-798 |
| Number of pages | 22 |
| Journal | Discrete and Continuous Dynamical Systems |
| Volume | 19 |
| Issue number | 4 |
| Publication status | Published - 1 Dec 2007 |
| Externally published | Yes |
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Novaga, M., & Valdinoci, E. (2007). The geometry of mesoscopic phase transition interfaces. Discrete and Continuous Dynamical Systems, 19(4), 777-798.