Well-Posedness of Multipoint Elliptic-Parabolic Differential Problems
Allaberen Ashyralyev and Okan Gercek
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Abstract:
In the present work, we study the multipoint nonlocal boundary value problem for the elliptic-parabolic equation. The well-posedness of this problem in H�older spaces with a weight is established. In applications, the coercivity inequalities for the solutions of the multipoint mixed nonlocal boundary value problems for elliptic-parabolic equations are obtained.
Keywords: Elliptic-parabolic equation, nonlocal boundary value problems, difference scheme, well-posedness