H~0-convergence as a limit-case of H-convergence

摘要

H~0-convergence is presented as a limit case of H-convergence. Assuming that (A~#epsilon#, S_#epsilon#) H~0-converges, in #OMEGA#, and representing by x_#epsilon# the characteristic function of #OMEGA#S_#epsilon#, we study the behavior as #delta# tends to 0, of the H-limit (as #epsilon# goes to 0) of the sequence A_#delta#~#epsilon# = [x_#epsilon# + #delta#(1 - x_#epsilon#)] A~#epsilon#.