Malaysian Journal of Mathematical Sciences, August 2012, Vol. 6(S)
Special Issue: International Workshop on Mathematical Analysis (IWOMA)


Well-Posedness of Multipoint Elliptic-Parabolic Differential Problems

Allaberen Ashyralyev and Okan Gercek

Corresponding Email: [email protected]

Received date: -
Accepted date: -

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