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arXiv · 1402.0358

Weak limits in non-linear conductivity

Pablo Pedregal
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Abstract

The problem of characterizing weak limits of sequences of solutions for a non-linear diffusion equation of $p$-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.

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Pablo Pedregal. 2014-02-03. Weak limits in non-linear conductivity. https://arxiv.org/abs/1402.0358

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