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Zbl 1154.34026
Ashyralyev, Allaberen
A note on the Bitsadze-Samarskii type nonlocal boundary value problem in a Banach space. (English)
[J] J. Math. Anal. Appl. 344, No. 1, 557-573 (2008). ISSN 0022-247X

The author studies a boundary value problem for a second-order differential equation in a Banach space. Well-posedness results and coercive type estimates for solutions are obtained in suitable Hölder spaces. As applications, three boundary value problems for elliptic equations are considered.
[Sergiu Aizicovici (Athens/Ohio)]
MSC 2000:
*34G10 Linear ODE in abstract spaces
35J25 Second order elliptic equations, boundary value problems
35J40 Higher order elliptic equations, boundary value problems
34B15 Nonlinear boundary value problems of ODE

Keywords: boundary value problem; positive operator; coercive inequality

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