Exponential dichotomy and $(L^p,L^q)$-admissibility
Fuente:
arXiv
Enregistré dans:
| Auteurs principaux: | , |
|---|---|
| Format: | Preprint |
| Publié: |
2026
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866911366149832704 |
|---|---|
| author | Duoc, Trinh Viet Van Trong, Nguyen |
| author_facet | Duoc, Trinh Viet Van Trong, Nguyen |
| contents | We consider the notion of an exponential dichotomy with respect to a family of norms for an evolutionary family in a Banach space, and we characterize it by the admissibility of the pair $(L^p,L^q)$ for $p,q \in [1,\infty]$ with $p\ge q$. We then use this characterization to establish the robustness of an exponentially dichotomic evolutionary family with respect to a family of norms. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_06534 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Exponential dichotomy and $(L^p,L^q)$-admissibility Duoc, Trinh Viet Van Trong, Nguyen Classical Analysis and ODEs Functional Analysis We consider the notion of an exponential dichotomy with respect to a family of norms for an evolutionary family in a Banach space, and we characterize it by the admissibility of the pair $(L^p,L^q)$ for $p,q \in [1,\infty]$ with $p\ge q$. We then use this characterization to establish the robustness of an exponentially dichotomic evolutionary family with respect to a family of norms. |
| title | Exponential dichotomy and $(L^p,L^q)$-admissibility |
| topic | Classical Analysis and ODEs Functional Analysis |
| url | https://arxiv.org/abs/2601.06534 |