A note on the failure of the Faber-Krahn inequality for the vector Laplacian

Autor:	Krejcirik, David, Lamberti, Pier Domenico, Zaccaron, Michele
Rok vydání:	2024
Předmět:	Mathematics - Optimization and Control Mathematics - Analysis of PDEs Mathematics - Spectral Theory
Druh dokumentu:	Working Paper
Popis:	We consider a natural eigenvalue problem for the vector Laplacian related to stationary Maxwell's equations in a cavity and we prove that an analog of the celebrated Faber-Krahn inequality doesn't hold. Comment: references added; 9 pages, 2 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2409.07206 Zobrazit plný text záznamu View this record from Arxiv