Well-Posedness of Multipoint Elliptic-Parabolic Differential Problems

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 Holder 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.