On the Homogenization of Nonlocal Convolution Type Operators
In , we consider a self-adjoint bounded operator , , of the form It is assumed that is a nonnegative function such that and ; is -periodic in each variable, and . For small , we obtain an approximation of the resolvent in the operator norm on with an error of order . DOI 10.1134/S106192084010114
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| Veröffentlicht in: | Russian journal of mathematical physics 2024-03, Vol.31 (1), p.137-145 |
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| Hauptverfasser: | , , , |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
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| Zusammenfassung: | In
, we consider a self-adjoint bounded operator
,
, of the form
It is assumed that
is a nonnegative function such that
and
;
is
-periodic in each variable,
and
. For small
, we obtain an approximation of the resolvent
in the operator norm on
with an error of order
.
DOI
10.1134/S106192084010114 |
|---|---|
| ISSN: | 1061-9208 1555-6638 |
| DOI: | 10.1134/S106192084010114 |