Back to Search
Start Over
The Steklov spectrum of convex polygonal domains I: spectral finiteness
- Publication Year :
- 2024
-
Abstract
- We explore the Steklov eigenvalue problem on convex polygons, focusing mainly on the inverse Steklov problem. Our primary finding reveals that, for almost all convex polygonal domains, there exist at most finitely many non-congruent domains with the same Steklov spectrum. Moreover, we obtain explicit upper bounds for the maximum number of mutually Steklov isospectral non-congruent polygonal domains. Along the way, we obtain isoperimetric bounds for the Steklov eigenvalues of a convex polygon in terms of the minimal interior angle of the polygon.<br />Comment: 24 pages, 10 figures
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.2408.01529
- Document Type :
- Working Paper