Bethe-Sommerfeld conjecture for pseudodifferential perturbation
| dc.creator | Barbatis, G. | |
| dc.creator | Parnovski, L. | |
| dc.date | 2008-04-22 | |
| dc.date | 2009-01-06 | |
| dc.date.accessioned | 2026-07-07T12:24:13Z | |
| dc.date.available | 2026-07-07T12:24:13Z | |
| dc.description | We consider a periodic pseudodifferential operator $H=(-Δ)^l+A$ ($l>0$) in $\R^d$ which satisfies the following conditions: (i) the symbol of $H$ is smooth in $x$, and (ii) the perturbation $A$ has order smaller than $2l-1$. Under these assumptions, we prove that the spectrum of $H$ contains a half-line. | |
| dc.description | 33 pages; misprints corrected; to appear in CPDE | |
| dc.identifier | https://arxiv.org/abs/0804.3488 | |
| dc.identifier | http://arxiv.org/abs/0804.3488 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/214254 | |
| dc.subject | Spectral Theory | |
| dc.subject | Analysis of PDEs | |
| dc.subject | 35P20 (Primary); 58J40, 58J50, 35J10 (Secondary) | |
| dc.title | Bethe-Sommerfeld conjecture for pseudodifferential perturbation | |
| dc.type | text |