Pregled bibliografske jedinice broj: 820322
Stability of Observations of Partial Differential Equations under Uncertain Perturbations
Stability of Observations of Partial Differential Equations under Uncertain Perturbations // ESAIM - Control optimisation and calculus of variations, 24 (2018), 1; 45-61 doi:10.1051/cocv/2016074 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 820322 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Stability of Observations of Partial Differential Equations under Uncertain Perturbations
Autori
Lazar, Martin
Izvornik
ESAIM - Control optimisation and calculus of variations (1292-8119) 24
(2018), 1;
45-61
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
averaged control ; robust observability ; parabolic H-measures
Sažetak
We demonstrate the stability of observability estimates for solutions to wave and Schrodinger equations subjected to additive perturbations. This work generalises recent averaged observability/control results by allowing for systems consisting of operators of different types. We also consider the simultaneous observability problem by which one tries to estimate the energy of each component of a system under consideration. Our analysis relies on microlocal defect tools, in particular on standard H-measures when the main system dynamic is governed by the wave operator, and parabolic H-measures in the case of the Schrodinger operator.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
HRZZ-IP-2013-11-9780 - Metode slabih convergencija i primjene (WeConMApp) (Antonić, Nenad, HRZZ - 2013-11) ( CroRIS)
Ustanove:
Sveučilište u Dubrovniku
Profili:
Martin Lazar
(autor)
Citiraj ovu publikaciju:
Časopis indeksira:
- Current Contents Connect (CCC)
- Web of Science Core Collection (WoSCC)
- Science Citation Index Expanded (SCI-EXP)
- SCI-EXP, SSCI i/ili A&HCI
- Scopus
