Answers are grounded in this paper and cite their sources.
The properties of the operator describing flexural waves are described. This operator is defined by a fourth-order differential expression with a singular point. A Hilbert space is constructed, and the domain of the operator and the Gelfand triple are found. For a model operator corresponding to a quadratic profile, the spectrum and corresponding (distributional) eigenfunctions are explicitly calculated.
No takes yet. Share an insight, caveat, or question.
Ivanov et al. (2026) studied this question.
Synapse has enriched 10 related papers. Consider them for comparative context: