General Non Local Boundary Value Problem For Second Order Elliptic Equation

Aissa Aibeche,Nasreddine Amroune,Stephane Maingot

MATHEMATISCHE NACHRICHTEN（2018）

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Abstract

In this paper we study a class of second order coefficient operators differential equation with general (possibly non local) boundary conditions. We obtain new results extending those given in a previous paper [1]. Existence, uniqueness and optimal regularity of the strict solution are proved in UMD spaces, using the well-known Dore-Venni theorem.

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Key words

Dore-Venni theorem,non focal boundary conditions,operator-differential equation,UMD spaces

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