\( \newcommand\D{\mathrm{d}} \newcommand\E{\mathrm{e}} \newcommand\I{\mathrm{i}} \newcommand\bigOh{\mathcal{O}} \newcommand{\cat}[1]{\mathbf{#1}} \newcommand\curl{\vec{\nabla}\times} \newcommand{\CC}{\mathbb{C}} \newcommand{\NN}{\mathbb{N}} \newcommand{\QQ}{\mathbb{Q}} \newcommand{\RR}{\mathbb{R}} \newcommand{\ZZ}{\mathbb{Z}} \)
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Formal Theory of PDEs

Table of Contents

1. Overview

When we describe partial differenial equations using the exterior calculus on a jet bundle, we end up with the formal theory of partial differential equations.

2. References

  • Richard Baker, Chris Doran,
    "Jet Bundles and the Formal Theory of Partial Differential Equations".
    arXiv:math/0106090, 9 pages
  • Wenyuan Wu,
    "Geometric Symbolic-Numeric Methods for Differential and Algebraic Systems."
    PhD Thesis, PDF

Last Updated 2021-06-01 Tue 10:00.