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

Funkcialaj Ekvacioj

Print ISSN : 0532-8721

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On the Solvability of Complete Abstract Differential Equations of Elliptic Type

Angelo Favini, Rabah Labbas, Hiroki Tanabe, Atsushi Yagi

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Keywords: Second order abstract differential equation, Boundary condition, Analytic semigroup, Strongly continuous group

JOURNAL FREE ACCESS

2004 Volume 47 Issue 2 Pages 205-224

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

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Abstract

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.

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