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Strong and weak (Lp, Lq)-admissibility (CROSBI ID 196990)

Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija

Barreira, Luis ; Dragičević, Davor ; Valls, Claudia Strong and weak (Lp, Lq)-admissibility // Bulletin des sciences mathématiques, 138 (2014), 6; 721-741. doi: 10.1016/j.bulsci.2013.11.005

Podaci o odgovornosti

Barreira, Luis ; Dragičević, Davor ; Valls, Claudia

engleski

Strong and weak (Lp, Lq)-admissibility

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.

admissibility ; exponential dichotomies ; Lp spaces

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Podaci o izdanju

138 (6)

2014.

721-741

objavljeno

0007-4497

1952-4773

10.1016/j.bulsci.2013.11.005

Povezanost rada

Matematika

Poveznice
Indeksiranost