Naslov
Strong and weak (Lp, Lq)-admissibility

Autori
Barreira, Luis ; Dragičević, Davor ; Valls, Claudia

Izvornik
Bulletin des sciences mathématiques (0007-4497) 138 (2014), 6; 721-741

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
admissibility ; exponential dichotomies ; Lp spaces

Sažetak
We consider the notion of a strong exponential dichotomy with respect to a family of norms for a dynamics with continuous time and we characterize it in terms of the admissibility of the pair $(L^p, L^q)$ for $p, q \in [1, \infty)$ with $p\ge q$. Moreover, we consider both strong and weak admissibility, in the sense that the solutions are, respectively, classical solutions of a nonautonomous linear equation or mild solutions of an integral equation obtained from perturbing an evolution family. We then use the characterization of the notion of a strong exponential dichotomy to establish its robustness in a very simple manner.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

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