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Journal Articles Demonstratio Mathematica Year : 2013

Second Order Abstract Differential Equations of Elliptic Type Set in R+,

Abstract

In this paper we give some new results on complete abstract second order differential equations of elliptic type set in R₊. In the framework of UMD spaces, we use the celebrated Dore-Venni Theorem to prove existence and uniqueness for the strict solution. We will use also the Da Prato-Grisvard Sum Theory to furnish results when the space is not supposed to be a UMD space.
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Dates and versions

hal-00950070 , version 1 (20-02-2014)

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  • HAL Id : hal-00950070 , version 1

Cite

Amine Eltaief, Stéphane Maingot. Second Order Abstract Differential Equations of Elliptic Type Set in R+,. Demonstratio Mathematica, 2013, XLVI (4), pp.709-727. ⟨hal-00950070⟩
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