# Syzygies, constant rank, and beyond

@inproceedings{Harkonen2021SyzygiesCR, title={Syzygies, constant rank, and beyond}, author={Marc Harkonen and Lisa Nicklasson and Bogdan Raiță}, year={2021} }

We study linear PDE with constant coefficients. The constant rank condition on a system of linear PDEs with constant coefficients is often used in the theory of compensated compactness. While this is a purely linear algebraic condition, the nonlinear algebra concept of primary decomposition is another important tool for studying such system of PDEs. In this paper we investigate the connection between these two concepts. From the nonlinear analysis point of view, we make some progress in the…

## 2 Citations

### Natural annihilators and operators of constant rank over $\mathbb{C}$

- Mathematics
- 2022

Even if the Fourier symbols of two constant rank differential operators have the same nullspace for each non-trivial phase space variable, the nullspaces of those differential operators might differ…

### Oscillation and Concentration in Sequences of PDE Constrained Measures

- MathematicsArchive for Rational Mechanics and Analysis
- 2022

We show that for constant rank partial differential operators A\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy}…

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