Abstract.This survey is the result of investigations suggested by recent publications. The topics, which are dealt with, are related to linear or nonlinear evolution equations, of first or second order in the time-variable, linear and nonlinear elliptic equations, spectral properties, singular perturbations, formation of layers, and spaces of functions, in particular of BMO, Sobolev, and UMD type. They are presented in the alphabetical order, so that the article can be used as a dictionary. The aim of this document is to provide guidance for (young) researchers in mathematics and applied sciences, biology, chemistry, mechanics and physics.

Received: June 18, 2010

AMS Subject Classification: 35x02, 46x02, 47x02

Key Words and Phrases: attractors, fractals, evolution equations and systems, elliptic equations, Schrödinger operator, spectral theory, singular perturbations, internal and boundary layers, spaces of functions

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2010
Volume: 62
Issue: 1