On the problem of determining the parameter of an elliptic equation in a Banach space

Allaberen Ashyralyev, Charyyar Ashyralyyev
2014 Nonlinear Analysis: Modelling and Control  
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.
doi:10.15388/na.2014.3.3 fatcat:tmke4446brcqtj6zzzurwz7ruy