Special Session 19: New trends in inverse problems for partial differential equations

Construction of weakly neutral Inclusions via imperfect interfaces
Mikyoung Lim
Korea Advanced Institute of Science and Technology
Korea
Co-Author(s):    Mikyoung Lim
Abstract:
We consider the problem of planar conductivity inclusion with the imperfect interface condition, characterized by an interface parameter defined as a function on the inclusion boundary. When embedded in a medium with different conductivity, the inclusion causes the perturbation in the incident background field. Using the multipole expansion of this perturbation, we determine the interface parameter for a given inclusion of arbitrary shape that results in negligible perturbations under all uniform incident fields.