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arXiv · 1203.4730

Optimization of quasi-normal eigenvalues for Krein-Nudelman strings

Illya M. Karabash
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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 $\alpha \in \R$ a string that has a resonance on the line $\alpha + \i \R$ with a minimal possible modulus of the imaginary part. We find optimal resonances and strings explicitly.

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Illya M. Karabash. 2012-03-01. Optimization of quasi-normal eigenvalues for Krein-Nudelman strings. https://doi.org/10.1007/s00020-012-2014-4

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