English

On weak convergence of locally periodic functions

Analysis of PDEs 2015-06-26 v1

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 boundary value problems are also considered.

Keywords

Cite

@article{arxiv.math/0210293,
  title  = {On weak convergence of locally periodic functions},
  author = {Dag Lukkassen and Peter Wall},
  journal= {arXiv preprint arXiv:math/0210293},
  year   = {2015}
}

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arxiv version is already official

R2 v1 2026-07-22T16:48:33.585Z