A simple construction of potential operators for compensated compactness

Bogdan Raiţă

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arXiv · 2112.11773

A simple construction of potential operators for compensated compactness

Bogdan Raiţă

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Abstract

We give a short proof of the fact that each homogeneous linear differential operator $A$ of constant rank admits a homogeneous potential operator $B$, meaning that $\ker A(x)=\mathrm{im\,}B(x)$ for $x\neq 0$. We make some refinements of the original result and some related remarks.

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Bogdan Raiţă. 2021-12-22. A simple construction of potential operators for compensated compactness. https://arxiv.org/abs/2112.11773

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