Corpus ID: 119625265

Nonradiating sources and transmission eigenfunctions vanish at corners and edges

@inproceedings{Blaasten2018NonradiatingSA,
  title={Nonradiating sources and transmission eigenfunctions vanish at corners and edges},
  author={Eemeli Henrik Blaasten},
  year={2018}
}
  • Eemeli Henrik Blaasten
  • Published 2018
  • Mathematics
  • We consider the inverse source problem of a fixed wavenumber: study properties of an acoustic source based on a single faror nearfield measurement. We show that nonradiating sources having a convex or non-convex corner or edge on their boundary must vanish there. The same holds true for smooth enough transmission eigenfunctions. The proof is based on an energy identity from the enclosure method and the construction of a new type of planar complex geometrical optics solution whose logarithm is a… CONTINUE READING

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