Pseudospectra of the damped wave equation with unbounded damping
Fuente:
arXiv
Salvato in:
| Autori principali: | , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2020
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866913578236248064 |
|---|---|
| author | Arifoski, Ahmet Siegl, Petr |
| author_facet | Arifoski, Ahmet Siegl, Petr |
| contents | We analyze pseudospectra of the generator of the damped wave equation with unbounded damping. We show that the resolvent norm diverges as $\Re z \to - \infty$. The highly non-normal character of the operator is a robust effect preserved even when a strong potential is added. Consequently, spectral instabilities and other related pseudospectral effects are present. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2001_07767 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | Pseudospectra of the damped wave equation with unbounded damping Arifoski, Ahmet Siegl, Petr Spectral Theory Mathematical Physics Analysis of PDEs Functional Analysis 34E20, 35L05, 47A10 We analyze pseudospectra of the generator of the damped wave equation with unbounded damping. We show that the resolvent norm diverges as $\Re z \to - \infty$. The highly non-normal character of the operator is a robust effect preserved even when a strong potential is added. Consequently, spectral instabilities and other related pseudospectral effects are present. |
| title | Pseudospectra of the damped wave equation with unbounded damping |
| topic | Spectral Theory Mathematical Physics Analysis of PDEs Functional Analysis 34E20, 35L05, 47A10 |
| url | https://arxiv.org/abs/2001.07767 |