Article ID Journal Published Year Pages File Type
4621028 Journal of Mathematical Analysis and Applications 2008 17 Pages PDF
Abstract
The Bitsadze-Samarskii type nonlocal boundary value problem−u″(t)+Au(t)=f(t)(0⩽t⩽1),u(0)=φ,u(1)=u(λ)+ψ,0⩽λ<1, in an arbitrary Banach space E with the positive operator A is considered. The well-posedness of this boundary value problem in the spaces of smooth functions is established. The new exact Schauder's estimates of solutions of the boundary value problems for elliptic equations are obtained.
Related Topics
Physical Sciences and Engineering Mathematics Analysis
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