Spectral behaviour of a simple non-self-adjoint operator
| dc.creator | Boulton, L. S. | |
| dc.date | 2001-02-21 | |
| dc.date | 2001-05-15 | |
| dc.date.accessioned | 2026-07-07T04:40:18Z | |
| dc.date.available | 2026-07-07T04:40:18Z | |
| dc.description | We investigate the spectrum of a typical non-self-adjoint differential operator $AD=-d^2/dx^2\otimes A$ acting on $\Lp(0,1)\otimes \mathbb{C}^2$, where $A$ is a $2\times 2$ constant matrix. We impose Dirichlet and Neumann boundary conditions in the first and second coordinate respectively at both ends of $[0,1]\subset\mathbb{R}$. For $A\in \mathbb{R}^{2\times 2}$ we explore in detail the connection between the entries of $A$ and the spectrum of $AD$, we find necessary conditions to ensure similarity to a self-adjoint operator and give numerical evidence that suggests a non-trivial spectral evolution. | |
| dc.description | 42 pages, 6 figures | |
| dc.identifier | https://arxiv.org/abs/math/0102170 | |
| dc.identifier | http://arxiv.org/abs/math/0102170 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/60984 | |
| dc.subject | Spectral Theory | |
| dc.subject | 34L05; 47E05, 34L16 | |
| dc.title | Spectral behaviour of a simple non-self-adjoint operator | |
| dc.type | text |