English

On weak closure of some diffusion equations

Analysis of PDEs 2019-01-01 v1

Abstract

We study the closure of approximating sequences of some diffusion equations under certain weak convergence. A specific description of the closure under weak H1H^1-convergence is given, which reduces to the original equation when the equation is parabolic. However, the closure under strong L2L^2-convergence may be much larger, even for parabolic equations.

Keywords

Cite

@article{arxiv.1812.11646,
  title  = {On weak closure of some diffusion equations},
  author = {Menglan Liao and Lianzhang Bao and Baisheng Yan},
  journal= {arXiv preprint arXiv:1812.11646},
  year   = {2019}
}
R2 v1 2026-06-23T06:59:25.332Z