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Results tagged with linear-pde
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user 21907
Questions about linear partial differential equations. Often used in combination with the top-level tag ap.analysis-of-pdes.
2
votes
1
answer
183
views
Status of the Bressan conjecture
Let me first recall what is the Bressan conjecture. Take a $BV\cap L^\infty$ vector field $X$ on some open subset of $\mathbb R^n$ such that there exists an $L^\infty$ function $\alpha\ge 1$ so that
$ …
- 16.2k
11
votes
2
answers
701
views
Poincaré lemma for distributions
Let us consider a current on $\mathbb R^n$, that is a differential form whose coefficients are distributions. For simplicity, let us check the case of a $1$-form
$$
u=\sum_{1\le j\le n} u_j dx_j,\quad …
- 356