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Journal Articles Discrete and Continuous Dynamical Systems - Series S Year : 2011

Complete Abstract Differential Equations of Elliptic Type with General Robin Boundary Conditions, in UMD Spaces

Mustapha Cheggag
  • Function : Author
Angelo Favini
  • Function : Author
Ahmed Medeghri

Abstract

In this paper we prove some new results concerning a complete abstract second-order differential equation with general Robin boundary conditions. The study is developped in UMD spaces and uses the celebrated Dore-Venni Theorem. We prove existence, uniqueness and maximal regularity of the strict solution.
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hal-00971775 , version 1 (03-04-2014)

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  • HAL Id : hal-00971775 , version 1

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Mustapha Cheggag, Angelo Favini, Rabah Labbas, Stéphane Maingot, Ahmed Medeghri. Complete Abstract Differential Equations of Elliptic Type with General Robin Boundary Conditions, in UMD Spaces. Discrete and Continuous Dynamical Systems - Series S, 2011, 4 (3), pp.523-538. ⟨hal-00971775⟩
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