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- MakaleAçık Erişim2020A note on well-posedness of source identification elliptic problem in a Banach space; [Банах кеңiстiгiнде дереккөздi сәйкестендiруде эллипстiк есептiң корректiлiгi туралы ескерту]; [Замечание о корректности эллиптической задачи идентификации источника в банаховом пространстве]
Ashyralyev, A.; Ashyralyyev, C.; Zvyagin, V.G.
We study the source identification problem for an elliptic differential equation in a Banach space. The exact estimates for the solution of source identification problem in Hölder norms are obtained. In applications, four elliptic source identification problems are investigated. Stability and coercive stability estimates for solution of source identification problems for elliptic equations are obtained.
AtıfOpenAlex1İncele
- MakaleAçık Erişim2014Scopus SJRQ3On the problem of determining the parameter of an elliptic equation in a banach space
Ashyralyev, Allaberen; Ashyralyyev, Charyyar
The boundary value problem of determining the parameter of an elliptic equation -u(t) + Au(t) = f(t) + p (0 ≤ t ≤ T), u(0) = φ, u(T) = ψ u(λ) = ξ 0 < λ < T, with a positive operator A in an arbitrary Banach space E is studied. The exact estimates are obtained for the solution of this problem in Hölder norms. Coercive stability estimates for the solution of boundary value problems for multi-dimensional elliptic equations are established.
AtıfScopus67WoS58OpenAlex63İncele
