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

Angelo Favini; Rabah Labbas; Stéphane Maingot; Hiroki Tanabe; Atsushi Yagi

doi:10.1619/fesi.51.165

Angelo Favini, Rabah Labbas, Stéphane Maingot, Hiroki Tanabe, Atsushi Yagi

著者情報

キーワード: Abstract differential equations of second order, Boundary value problem, UMD spaces, Bounded imaginary powers, Maximal regularity, Dore-Venni theorem

ジャーナルフリー

2008 年 51 巻 2 号 p. 165-187

DOI https://doi.org/10.1619/fesi.51.165

詳細

抄録

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.

責任著者(Corresponding author)

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