A new type of CGO solutions and its applications in corner scattering

  title={A new type of CGO solutions and its applications in corner scattering},
  author={Jingni Xiao},
  journal={Inverse Problems},
  • Jingni Xiao
  • Published 2 November 2021
  • Mathematics
  • Inverse Problems
We consider corner scattering for the operator ∇ ⋅ γ(x)∇ + k 2 ρ(x) in R2 , with γ a positive definite symmetric matrix and ρ a positive scalar function. A corner is referred to one that is on the boundary of the (compact) support of γ(x) − I or ρ(x) − 1, where I stands for the identity matrix. We assume that γ is a scalar function in a small neighborhood of the corner. We show that any admissible incident field will be scattered by such corners, which are allowed to be concave. Moreover, we… 

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