On the absolutely continuous spectrum of generalized indefinite strings

Autor:	Eckhardt, Jonathan, Kostenko, Aleksey
Rok vydání:	2019
Předmět:	Mathematics - Spectral Theory Mathematical Physics Mathematics - Classical Analysis and ODEs 34L05 34B07 (Primary) 34L25 37K15 (Secondary)
Zdroj:	Ann. Henri Poincar\'e 22, no.11, 3529-3564 (2021)
Druh dokumentu:	Working Paper
DOI:	10.1007/s00023-021-01072-x
Popis:	We investigate absolutely continuous spectrum of generalized indefinite strings. By following an approach of Deift and Killip, we establish stability of the absolutely continuous spectra of two model examples of generalized indefinite strings under rather wide perturbations. In particular, one of these results allows us to prove that the absolutely continuous spectrum of the isospectral problem associated with the conservative Camassa-Holm flow in the dispersive regime is essentially supported on the interval $[1/4,\infty)$. Comment: 29 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1902.07898 Zobrazit plný text záznamu View this record from Arxiv