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arXiv · 1812.11646

On weak closure of some diffusion equations

Menglan Liao·Lianzhang Bao·Baisheng Yan
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Abstract

We study the closure of approximating sequences of some diffusion equations under certain weak convergence. A specific description of the closure under weak $H^1$-convergence is given, which reduces to the original equation when the equation is parabolic. However, the closure under strong $L^2$-convergence may be much larger, even for parabolic equations.

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Menglan Liao, Lianzhang Bao, Baisheng Yan. 2018-12-31. On weak closure of some diffusion equations. https://arxiv.org/abs/1812.11646

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