Rabah Haoua, Ahmed Medeghri
Abstract:
In this article we give some new results on abstract second-order differential
equations of elliptic type with variable operator coefficients and general
Robin boundary conditions, in the framework of Holder spaces.
We assume that the family of variable coefficients verify the well known
Labbas-Terreni assumption used in the sum theory. We use Dunford calculus,
interpolation spaces and the semigroup theory to obtain existence,
uniqueness and maximal regularity results for the solution of the problem.
Submitted September 19, 2014. Published April 7, 2015.
Math Subject Classifications: 34K10, 34K30, 35J25, 35J40, 47A60.
Key Words: Elliptic equation; Robin boundary conditions; analytic semigroup;
maximal regularity; Dunford operational calculus.
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Rabah Haoua Laboratoire de Mathématiques Pures et Appliquées Université de Mostaganem 27000 Mostaganem, Algérie email: Haoua.rabah27@gmail.com |
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Ahmed Medeghri Laboratoire de Mathématiques Pures et Appliquées Université de Mostaganem 27000 Mostaganem, Algérie email: medeghri@univ-mosta.dz, ahmed_medeghri@yahoo.com |
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