On Strong Closure of Sets of Feasible States Associated with Families of Elliptic Operators
O. ZaytsevUniversity of Latvia, Riga, Latvia
The closure of sets of feasible states for systems of elliptic equations in the strong topology of the Cartesian product of Sobolev spaces is considered. For and , it is shown that there is a family of linear elliptic operators of the type div , where belongs to the set of all characteristic functions of measurable subsets of , such that there does not exist a larger family of operators of the type div for which the sets of feasible states coincide with the closure of the original ones.
Cite this article
O. Zaytsev, On Strong Closure of Sets of Feasible States Associated with Families of Elliptic Operators. Z. Anal. Anwend. 17 (1998), no. 3, pp. 565–575DOI 10.4171/ZAA/839