Skip to main content

All Questions

Filter by
Sorted by
Tagged with
6 votes
1 answer
181 views

Can we approximate a vector field on the plane with non-vanishing vector fields in $W^{1,2}$?

Let $V$ be a compactly-supported vector field on $\mathbb{R}^2$, whose zeros inside some open neighbourhood of the closed unit disk $\mathbb{D}^2$ are isolated. Does there exist a sequence of ...
Asaf Shachar's user avatar
  • 6,741