A Simplified Approach in the Study of Elliptic Differential Equations in UMD Spaces and New Applications

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Abstract

This paper is devoted to provide some new clarifications in the study of complete abstract second order differential equations of elliptic type given in our recent papers [8], [9] and [10]. We improve the situation in the case of the space Lp(0,1;X) with a UMD Banach space X by considering an approach generalizing those used in [10]. On the other hand, we give some new examples to which our theory applies.

Journal

  • Funkcialaj Ekvacioj

    Funkcialaj Ekvacioj 51 (2), 165-187, 2008

    Division of Functional Equations, The Mathematical Society of Japan

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