MR2440938 Angelo FAVINI, Rabah LABBAS, Stéphane MAINGOT, Hiroki TANABE and Atsushi YAGI Angelo FAVINI, Rabah LABBAS, Stéphane MAINGOT, Hiroki TANABE and Atsushi YAGI A Simplified Approach in the Study of Elliptic Differential Equations in UMD Spaces and New Applications Funkcialaj Ekvacioj. Serio Internacia 51 2008 165--187 http://fe.math.kobe-u.ac.jp/FE/FullPapers/51-2/51_165.pdf http://www.ams.org/mathscinet-getitem?mr=MR2440938 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 $L^p(0,1;X)$ 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. Abstract differential equations of second order, Boundary value problem, UMD spaces, Bounded imaginary powers, Maximal regularity, Dore-Venni theorem. 35J25, 35J40, 47D06. 51-165 2008 A Simplified Approach in the Study of Elliptic Differential Equations in UMD Spaces and New Applications Angelo FAVINI, Rabah LABBAS, Stéphane MAINGOT, Hiroki TANABE and Atsushi YAGI Angelo FAVINI, Rabah LABBAS, Stéphane MAINGOT, Hiroki TANABE and Atsushi YAGI
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