Wondering if anyone can prove this theorem, or has a hint!
Theorem:
For any q in L_0^2(omega), there exists w in H_0^1(omega) with
div w =q and a constant c such that
||grad w||
There is a clear proof in Galdi's book.
Many thanks Layton.
Please check references below.. hope it will be helpful for you… Regards…
https://hal.archives-ouvertes.fr/file/index/docid/804385/filename/IBAFHP.pdf
https://www.ias.ac.in/article/fulltext/pmsc/117/03/0349-0357
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