Some differential equations in synthetic differential geometry
Category Theory
2007-05-23 v1 Differential Geometry
Abstract
Some differential equations are considered in the context of Synthetic Differential Geometry. Here, this means that not only nilpotent infinitesimals, but also the formation of function spaces, is exploited. In particular, we utilize distribution spaces in our study of wave and heat equations.
Cite
@article{arxiv.math/0104164,
title = {Some differential equations in synthetic differential geometry},
author = {Anders Kock and Gonzalo E. Reyes},
journal= {arXiv preprint arXiv:math/0104164},
year = {2007}
}