A note on the Bitsadze–Samarskii type nonlocal boundary value problem in a Banach space
- Ashyralyev, Allaberen
Publication date
August 2008
DOI Publisher
Elsevier Inc. ISSN
0022-247X Citation count (estimate)
27Abstract
AbstractThe 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
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