Some examples in one-dimensional "geometric" scattering on manifolds
Publication
, Journal Article
Kiselev, A
Published in: Journal of Mathematical Analysis and Applications
August 1, 1997
We consider "geometric" scattering for a Laplace-Beltrami operator on a compact Riemannian manifold inserted between "wires," that is, two half-lines. We discuss applicability and correctness of this model. With an example, we show that such a scattering problem may exhibit unusual properties: the transition coefficient has a sequence of sharp peaks which become more and more distant at high energy and otherwise turns to zero. © 1997 Academic Press.
Duke Scholars
Published In
Journal of Mathematical Analysis and Applications
DOI
ISSN
0022-247X
Publication Date
August 1, 1997
Volume
212
Issue
1
Start / End Page
263 / 280
Related Subject Headings
- General Mathematics
- 4904 Pure mathematics
- 4903 Numerical and computational mathematics
- 4901 Applied mathematics
- 0906 Electrical and Electronic Engineering
- 0102 Applied Mathematics
- 0101 Pure Mathematics
Citation
APA
Chicago
ICMJE
MLA
NLM
Kiselev, A. (1997). Some examples in one-dimensional "geometric" scattering on manifolds. Journal of Mathematical Analysis and Applications, 212(1), 263–280. https://doi.org/10.1006/jmaa.1997.5497
Kiselev, A. “Some examples in one-dimensional "geometric" scattering on manifolds.” Journal of Mathematical Analysis and Applications 212, no. 1 (August 1, 1997): 263–80. https://doi.org/10.1006/jmaa.1997.5497.
Kiselev A. Some examples in one-dimensional "geometric" scattering on manifolds. Journal of Mathematical Analysis and Applications. 1997 Aug 1;212(1):263–80.
Kiselev, A. “Some examples in one-dimensional "geometric" scattering on manifolds.” Journal of Mathematical Analysis and Applications, vol. 212, no. 1, Aug. 1997, pp. 263–80. Scopus, doi:10.1006/jmaa.1997.5497.
Kiselev A. Some examples in one-dimensional "geometric" scattering on manifolds. Journal of Mathematical Analysis and Applications. 1997 Aug 1;212(1):263–280.
Published In
Journal of Mathematical Analysis and Applications
DOI
ISSN
0022-247X
Publication Date
August 1, 1997
Volume
212
Issue
1
Start / End Page
263 / 280
Related Subject Headings
- General Mathematics
- 4904 Pure mathematics
- 4903 Numerical and computational mathematics
- 4901 Applied mathematics
- 0906 Electrical and Electronic Engineering
- 0102 Applied Mathematics
- 0101 Pure Mathematics