The factorization method for inverse obstacle scattering with conductive boundary condition

The inverse acoustic scattering by a penetrable obstacle with a general conductive boundary condition is considered. Having established the well posedness of the direct problem by a variational method, we study the factorization method for recovering the location and the shape of the obstacle. One by-product of the method is an explicit proof of uniqueness of the inverse scattering problem under certain assumptions. Some numerical experiments are also presented to demonstrate the feasibility and effectiveness of the factorization method.