A survey of some topics related to differential operators (Q472521)

Summary: This paper is the result of investigations suggested by recent publications and completes the work of \textit{D. Huet} [Int. J. Pure Appl. Math. 62, No.~1, 79--128 (2010; Zbl 1228.35006)]. 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 alphabetical order. The aim of this document and of [loc.\,cit.]\ is to be a useful reference for (young) researchers in mathematics and applied sciences.