Stability Conditions for Perturbed Semigroups on a Hilbert Space via Commutators
| Autor: | Michael Gil' |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2019 |
| Předmět: | |
| Zdroj: | Communications in Advanced Mathematical Sciences, Vol 2, Iss 2, Pp 129-134 (2019) |
| Druh dokumentu: | article |
| ISSN: | 2651-4001 |
| DOI: | 10.33434/cams.508305 |
| Popis: | Let $A$ and $B$ be linear operators on a Hilbert space. Let $A$ and $A+B$ generate $C_0$-semigroups $e^{tA}$ and $e^{t(A+B)}$, respectively, and $e^{tA}$ be exponentially stable. We establish exponential stability conditions for $e^{t(A+B)}$ in terms of the commutator $AB-BA$, assuming that it has a bounded extension. Besides, $B$ can be unbounded. |
| Databáze: | Directory of Open Access Journals |
| Externí odkaz: |
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