New Results on Abstract Differential Equations of Elliptic Type with General Robin Boundary Conditions in Holder Spaces and Noncommutative Case

Abstract

In this article, we prove new results on second order operational differential equations of elliptic type

with Robin type operator coefficient conditions, in a non-commutative case. The study is performed

when the second member  belongs to, with  being a complex Banach space.

The existence, uniqueness and maximum regularity of the strict solution are proven. This article improves

in a certain sense and naturally complements our last three works on this problem.