A Survey of Some Topics Related to Differential Operators

Abstract EN

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.