Homogenization of parabolic equations an alternative approach and some corrector-type results

Homogenization of some parabolic operators with several time scales

“…Theorem 8 deals with 2, 3-scale convergence of gradients. The proof follows directly along the lines of the proof of Theorem 3.1 in [8].…”

“…For corrector results for linear parabolic equations with oscillation only in space we refer to [3]. Such results for problems with oscillations also in time have been proven by means of two-scale convergence methods in [8], and with H-convergence techniques in [7]. The corresponding results for nonlinear problems are obtained in [16].…”

Alternative Approaches to the Two-Scale Convergence

“…The theory for time depending sequences used in evolution equations is completed in [15]. Considering problems in some porous media is popular in many papers, see e.g.…”

Optimality conditions for semilinear parabolic equations with controls in leading term

“…1.1 and "Comments and Problems" there). The result can also be got by the technique of two scale convergence [1,8]. According to [2],…”