Journal of Nonlinear Mathematical Physics

Volume 9, Issue 1, February 2002, Pages 42 - 57

On Weak Convergence of Locally Periodic Functions

Authors
Dag Lukkassen, Peter Wall
Corresponding Author
Dag Lukkassen
Received 3 March 2001, Revised 3 August 2001, Accepted 17 August 2001, Available Online 1 February 2002.
DOI
10.2991/jnmp.2002.9.1.5How to use a DOI?
Abstract

We prove a generalization of the fact that periodic functions converge weakly to the mean value as the oscillation increases. Some convergence questions connected to locally periodic nonlinear boandary value problems are also considered.

Copyright
© 2006, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
9 - 1
Pages
42 - 57
Publication Date
2002/02/01
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
10.2991/jnmp.2002.9.1.5How to use a DOI?
Copyright
© 2006, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

TY  - JOUR
AU  - Dag Lukkassen
AU  - Peter Wall
PY  - 2002
DA  - 2002/02/01
TI  - On Weak Convergence of Locally Periodic Functions
JO  - Journal of Nonlinear Mathematical Physics
SP  - 42
EP  - 57
VL  - 9
IS  - 1
SN  - 1776-0852
UR  - https://doi.org/10.2991/jnmp.2002.9.1.5
DO  - 10.2991/jnmp.2002.9.1.5
ID  - Lukkassen2002
ER  -