Limiting Processes in Evolutionary Equations - A Hilbert Space Approach to Homogenization
Marcus Waurick · Qucosa (Saxon State and University Library Dresden) · 2011
In a Hilbert space setting homogenization of evolutionary equations is discussed. In order to do so, a suitable topology on material laws is introduced and several properties of that topology are shown. With those properties homogenization theorems of a large class of linear evolutionary problems of classical mathematical physics can be obtained. The results are exemplified by the equations of piezo-electro-magnetism.