2013/12/04 by Nicolas Chaulet, Chaulet, Nicolas
Computer Science · Engineering · Mathematics · Physics and Astronomy · #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #Electromagnetic Scattering and Analysis #FOS: Mathematics #Numerical methods in inverse problems #math.AP
paper · pdf · doi:10.48550/arxiv.1312.1089
17 pages
arxiv created 2013/12/04 · openalex publication_date 2013/12/04 · arxiv updated 2013/12/05 · openalex created_date 2022/10/01 · openalex updated_date 2026/07/28
In this paper we consider the electromagnetic scattering problem by an obstacle characterised by a Generalized Impedance Boundary Condition in the harmonic regime. These boundary conditions are well known to provide accurate models for thin layers or imperfectly conducting bodies. We give two different formulations of the scattering problem and we provide some general assumptions on the boundary condition under which the scattering problem has at most one solution. We also prove that it is well-posed for three different boundary conditions which involve second order surface differential operators under weak sign assumptions on the coefficients defining the surface operators.