Strong and weak (Lp, Lq)-admissibility (CROSBI ID 196990)
Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija
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
nije evidentirano
nije evidentirano
nije evidentirano
nije evidentirano
nije evidentirano
nije evidentirano
Podaci o izdanju
138 (6)
2014.
721-741
objavljeno
0007-4497
1952-4773
10.1016/j.bulsci.2013.11.005