On representation formulas and radiation conditions

  title={On representation formulas and radiation conditions},
  author={Martin Costabel and Monique Dauge},
Solutions of linear elliptic partial differential equations in unbounded domains can be represented by boundary potentials if they satisfy certain conditions at infinity. These radiation conditions depend on the fundamental solution chosen for the integral representation. We prove some basic results about radiation conditions in a rather general framework. Fundamental solutionsG are considered that are defined only on the complement of a compact set. It turns out, however, and we present… CONTINUE READING


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