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Nonlocal phase transitions and minimal surfaces

  • Date February 1, 2018
  • Hour 4 pm
  • Room GSSI Main Lecture Hall
  • Speaker Enrico Valdinoci (Universit√† di Milano)
  • Area Mathematics

ABSTRACT

We present some recent results on a nonlocal version of the Allen-Cahn equation, which is also related, at a large scale, to surfaces which minimise a nonlocal perimeter functional. We discuss some features, such as symmetry property for the equation, regularity and rigidity results for the geometric interface and boundary effects.