Optimization of quasi-normal eigenvalues for Krein-Nudelman strings
Spectral Theory
2013-01-21 v1 Optimization and Control
Abstract
The paper is devoted to optimization of resonances for Krein strings with total mass and statical moment constraints. The problem is to design for a given a string that has a resonance on the line with a minimal possible modulus of the imaginary part. We find optimal resonances and strings explicitly.
Cite
@article{arxiv.1203.4730,
title = {Optimization of quasi-normal eigenvalues for Krein-Nudelman strings},
author = {Illya M. Karabash},
journal= {arXiv preprint arXiv:1203.4730},
year = {2013}
}
Comments
9 pages, these results were extracted in a slightly modified form from the earlier e-print arXiv:1103.4117 [math.SP] following an advise of a journal's referee