Electron. J. Diff. Equ., Vol. 2015 (2015), No. 87, pp. 1-19.

Robin boundary value problems for elliptic operational differential equations with variable coefficients

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.

Show me the PDF file (257 KB), TEX file, and other files for this article.

Rabah Haoua
Laboratoire de Mathématiques Pures et Appliquées
Université de Mostaganem
27000 Mostaganem, Algérie
email: Haoua.rabah27@gmail.com
Ahmed Medeghri
Laboratoire de Mathématiques Pures et Appliquées
Université de Mostaganem
27000 Mostaganem, Algérie
email: medeghri@univ-mosta.dz, ahmed_medeghri@yahoo.com

Return to the EJDE web page