Table of Contents
Journal of Operators
Volume 2013, Article ID 562963, 17 pages
Review Article

A Survey of Some Topics Related to Differential Operators

Université de Lorraine, Institut Elie Cartan de Nancy, BP 239, 54506 Vandoeuvre-les-Nancy Cedex, France

Received 26 March 2013; Revised 2 October 2013; Accepted 4 October 2013

Academic Editor: Qingkai Kong

Copyright © 2013 Denise Huet. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


This paper is the result of investigations suggested by recent publications and completes the work of Huet, 2010. The topics, which are dealt with, concern some spaces of functions and properties of solutions of linear and nonlinear, stationary and evolution differential equations, namely, existence, spectral properties, resonances, singular perturbations, boundary layers, and inertial manifolds. They are presented in the alphabetical order. The aim of this document and of Huet, 2010, is to be a useful reference for (young) researchers in mathematics and applied sciences.