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[02489] $L^p$-estimates for Maxwell's equations in heterogeneous materials

  • Session Time & Room : 3C (Aug.23, 13:20-15:00) @G601
  • Type : Contributed Talk
  • Abstract : Estimates for the time-harmonic Maxwell's equations in heterogeneous materials are concerned. The materials contain two constituents. One high-conductivity constituent of small size is embedded in each period so that it is disconnected. The other of low-conductivity constituent contains the rest of the material. The contrast ratios of the conductivity and the magnetic permeability in one constituent to the other can be very high. Here $L^p$-estimates for the electromagnetic fields uniform in contrast ratios are presented.
  • Classification : 35J70, 35J25, 35J75
  • Format : Talk at Waseda University
  • Author(s) :
    • Li-Ming Yeh (National Yang Ming Chiao Tung University)
    • Dongwoo Sheen (Seoul National University)