On the Solvability of Complete Abstract Differential Equations of Elliptic Type

Angelo Favini; Rabah Labbas; Hiroki Tanabe; Atsushi Yagi

doi:10.1619/fesi.47.205

Angelo Favini, Rabah Labbas, Hiroki Tanabe, Atsushi Yagi

著者情報

キーワード: Second order abstract differential equation, Boundary condition, Analytic semigroup, Strongly continuous group

ジャーナルフリー

2004 年 47 巻 2 号 p. 205-224

DOI https://doi.org/10.1619/fesi.47.205

詳細

抄録

In this work we give some new results on complete abstract second order differential equations of elliptic type in a Banach space. The existence and the uniqueness of the strict solution are proved under some natural assumptions generalising previous theorems on the subject.

責任著者(Corresponding author)

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