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[02222] Unfolding operator in Heisenberg group and its applications

  • Session Time & Room : 3D (Aug.23, 15:30-17:10) @A511
  • Type : Contributed Talk
  • Abstract : After the development of multi-scale convergence in the 1990s, the periodic unfolding approach is one of the most effective methods for studying multi-scale problems like homogenization in the Euclidean setup. This talk will discuss the periodic unfolding operator in the Heisenberg group. Analogous to the Euclidean unfolding operator, we prove all the required properties. We apply the unfolding operator to homogenize an optimal control problem subject to a state equation having high contrast diffusive coefficients.
  • Classification : 35Rxx
  • Format : Talk at Waseda University
  • Author(s) :
    • Abu Sufian (TIFR- Centre for Applicable Mathematics)
    • Akambadath Keerthiyil Nandakumaran (Indian Institute of Science, Bangalore, India)