Two-Scale Convergence of First-Order Operators
نویسندگان
چکیده
منابع مشابه
First order convergence of matroids
The model theory based notion of the first order convergence unifies the notions of the left-convergence for dense structures and the BenjaminiSchramm convergence for sparse structures. It is known that every first order convergent sequence of graphs with bounded tree-depth can be represented by an analytic limit object called a limit modeling. We establish the matroid counterpart of this resul...
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Nešetřil and Ossona de Mendez introduced the notion of first order convergence, which unifies the notions of convergence for sparse and dense graphs. They asked whether if (Gi)i∈N is a sequence of graphs with M being their first order limit and v is a vertex of M , then there exists a sequence (vi)i∈N of vertices such that the graphs Gi rooted at vi converge to M rooted at v. We show that this ...
متن کاملTwo-Scale Convergence
2 Two-Scale Convergence Definition and Results 15 2.1 Definitions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 15 2.2 Link with Weak Convergence . . . . . . . . . . . . . . . . . . . . . . . . . . . 17 2.3 Injection Lemma . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 18 2.4 Two-Scale Convergence criterion . . . . . . . . . . . . . . . . . . ....
متن کاملOn two-scale convergence
Two-scale convergence is an important tool in homogenization theory. The contribution deals with its alternative definition based on two-scale mapping and transform. It removes the problems with choice of the space of admissible test functions and simplifies the proofs.
متن کاملHomogenization and Two - Scale Convergence *
Following an idea of G. Nguetseng, the author defines a notion of "two-scale" convergence, which is aimed at a better description of sequences of oscillating functions. Bounded sequences in L2(f) are proven to be relatively compact with respect to this new type of convergence. A corrector-type theorem (i.e., which permits, in some cases, replacing a sequence by its "two-scale" limit, up to a st...
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ژورنال
عنوان ژورنال: Zeitschrift für Analysis und ihre Anwendungen
سال: 2007
ISSN: 0232-2064
DOI: 10.4171/zaa/1315