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November  2013, 33(11&12): 4967-4990. doi: 10.3934/dcds.2013.33.4967

## Boundary value problem for elliptic differential equations in non-commutative cases

 1 Dipartimento di Matematica, Università degli Studi di Bologna, Piazza di Porta S. Donato, 5, 40126 Bologna 2 Laboratoire de Mathématiques Appliquées du Havre, Université du Havre, 25 rue Philippe Lebon, CS 80540, 76058 Le Havre Cedex, France, France, France

Received  November 2011 Revised  February 2012 Published  May 2013

This paper is devoted to abstract second order complete elliptic differential equations set on $\left[ 0,1\right]$ in non-commutative cases. Existence, uniqueness and maximal regularity of the strict solution are proved. The study is performed in $C^{\theta }\left( \left[ 0,1\right] ;X\right)$.
Citation: Angelo Favini, Rabah Labbas, Stéphane Maingot, Maëlis Meisner. Boundary value problem for elliptic differential equations in non-commutative cases. Discrete & Continuous Dynamical Systems - A, 2013, 33 (11&12) : 4967-4990. doi: 10.3934/dcds.2013.33.4967
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