Weak limits in non-linear conductivity
Optimization and Control
2015-09-28 v1
Abstract
The problem of characterizing weak limits of sequences of solutions for a non-linear diffusion equation of -laplacian type is addressed. It is formulated in terms of certain moments of underlying Young measures associated with main fields corresponding to the non-linear equation. We show two main results. One is a necessary condition; the other one a sufficient counterpart. Unlike the linear case, those two conditions do not match.
Cite
@article{arxiv.1402.0358,
title = {Weak limits in non-linear conductivity},
author = {Pablo Pedregal},
journal= {arXiv preprint arXiv:1402.0358},
year = {2015}
}