The Laplace-Beltrami operator on surfaces with axial symmetry
E. Prodan
TL;DR
This paper presents a practical method for applying the Laplace-Beltrami operator on axially symmetric surfaces, including a detailed spectral analysis, advancing mathematical tools for surface analysis.
Contribution
It introduces a practical approach for the functional calculus of the Laplace-Beltrami operator on axially symmetric surfaces, with a comprehensive spectral analysis.
Findings
Developed a practical solution for the Laplace-Beltrami operator on symmetric surfaces
Provided a quantitative analysis of the spectrum
Enhanced mathematical tools for surface analysis
Abstract
A practical solution for the mathematical problem of functional calculus with Laplace-Beltrami operator on surfaces with axial symmetry is found. A quantitative analysis of the spectrum is presented.
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