Weak lower semicontinuity by means of anisotropic parametrized measures
Analysis of PDEs
2017-04-04 v1
Abstract
It is well known that besides oscillations, sequences bounded only in can also develop concentrations, and if the latter occurs, we can at most hope for weak convergence in the sense of measures. Here we derive a new tool to handle mutual interferences of an oscillating and concentrating sequence with another weakly converging sequence. We introduce a couple of explicit examples showing a variety of possible kinds of behavior and outline some applications in Sobolev spaces.
Keywords
Cite
@article{arxiv.1704.00368,
title = {Weak lower semicontinuity by means of anisotropic parametrized measures},
author = {Agnieszka Kałamajska and Stefan Krömer and Martin Kružík},
journal= {arXiv preprint arXiv:1704.00368},
year = {2017}
}