On weak closure of some diffusion equations

Liao, Menglan; Bao, Lianzhang; Yan, Baisheng

doi:10.1090/proc/14610

On weak closure of some diffusion equations
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by Menglan Liao, Lianzhang Bao and Baisheng Yan PDF

Proc. Amer. Math. Soc. 147 (2019), 3803-3811 Request permission

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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