Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4621028 | Journal of Mathematical Analysis and Applications | 2008 | 17 Pages |
Abstract
The Bitsadze-Samarskii type nonlocal boundary value problemâuâ³(t)+Au(t)=f(t)(0⩽t⩽1),u(0)=Ï,u(1)=u(λ)+Ï,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
Authors
Allaberen Ashyralyev,