G-convergence and homogenization for some monotone operators with multiple scales

Sammanfattning: This thesis deals with questions concerning the convergence of sequences of functions and operators. G-convergence is studied for elliptic and parabolic equations and the necessary investigations of the properties of certain monotone operators are made. In particular, we consider periodic cases with oscillations in one or several scales including the possibility of rapid oscillations in time. Homogenization procedures for these problems are developed and local problems are identified.