03-313 Hee Chul Pak

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

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