- 03-313 Hee Chul Pak
- Weak graph-convergences of Coercive Operators and its Application to Fissured Medium Equations
Jun 30, 03
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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.