On representation formulas and radiation conditions

@inproceedings{Costabel1997OnRF,
  title={On representation formulas and radiation conditions},
  author={Martin Costabel and Monique Dauge},
  year={1997}
}
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

References

Publications referenced by this paper.
SHOWING 1-10 OF 14 REFERENCES

Equations int egrales associ ees aux probl emes aux limites elliptiques dans des domaines de R3

  • J.-C. Nedelec
  • R. Dautray, J.-L. Lions, editors, Analyse Math…
  • 1988
Highly Influential
4 Excerpts

Approximation des equations int egrales en m ecanique et en physique

  • J.-C. Nedelec
  • Cours de l'Ecole d' et e CEA-INRIA-EDF,
  • 1977
Highly Influential
4 Excerpts

Starke Elliptizit at von Randintegraloperatoren erster Art

  • M. Costabel
  • Habilitationsschrift. THD-Preprint 982…
  • 1984
1 Excerpt

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