Pregled bibliografske jedinice broj: 707326
Admissibility on the half line for evolution families
Admissibility on the half line for evolution families // Journal d analyse mathematique, 132 (2017), 1; 157-176 doi:10.1007/s11854-017-0017-4 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 707326 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Admissibility on the half line for evolution families
Autori
Barreira, Luis ; Dragičević, Davor ; Valls, Claudia
Izvornik
Journal d analyse mathematique (0021-7670) 132
(2017), 1;
157-176
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Exponential dichotomies ; robustness
Sažetak
For an arbitrary evolution family, we consider the notion of an exponential dichotomy with respect to a family of norms and we characterize it completely in terms of the admissibility of bounded solutions, that is, the existence of a unique bounded solution for each bounded perturbation. In particular, by considering a family of Lyapunov norms we recover the notion of a nonuniform exponential dichotomy. As a nontrivial application of the characterization, we establish the robustness of the notion of an exponential dichotomy with respect to a family of norms under sufficiently small Lipschitz and $C^1$ parameterized perturbations. Moreover, we establish the optimal regularity of the dependence on the parameter of the projections onto the stable spaces of the perturbation.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
HRZZ-IP-2014-09-2285 - Geometrijska, ergodička i topološka analiza nisko-dimenzionalnih dinamičkih sustava (GETDYN) (Slijepčević, Siniša, HRZZ - 2014-09) ( CroRIS)
Profili:
Davor Dragičević
(autor)
Citiraj ovu publikaciju:
Časopis indeksira:
- Web of Science Core Collection (WoSCC)
- Science Citation Index Expanded (SCI-EXP)
- SCI-EXP, SSCI i/ili A&HCI
- Scopus
