Abstract
It is proved for fixed unit vectors-omega not-equal theta in R3 and generic bounded open domains D subset-of R3 that there do not exist generalized (omega, theta)-rays in OMEGA = R3\D containing nontrivial geodesics on partial derivative-OMEGA. Consequently, for generic domains the sojourn times of reflecting (omega, theta)-rays completely describe the set of singularities of the scattering kernel s(t, theta, omega).
| Original language | English |
|---|---|
| Pages (from-to) | 847-856 |
| Number of pages | 10 |
| Journal | Proceedings of the American Mathematical Society |
| Volume | 113 |
| Issue number | 3 |
| DOIs | |
| Publication status | Published - Nov 1991 |