Hee Chul Pak
Weak graph-convergences of Coercive Operators and its Application to Fissured Medium Equations
(176K, Postscript)

ABSTRACT.  In this note, we find an equivalent relationship between the weak 
convergence of linear semi-group and that of their generators. 
To find this, we introduce a notion of weak graph convergence 
of unbounded operators, and find some equivalent relationships among 
 weak-convergence of linear semi-groups, 
weak graph convergence of generators and G-convergence of resolvents. 
 As a nontrivial application, 
 we introduce the homogenized differential equation for 
fissured medium equations.