Linear PDE with Constant Coefficients
Commutative Algebra
2021-10-14 v3 Symbolic Computation
Analysis of PDEs
Abstract
We discuss practical methods for computing the space of solutions to an arbitrary homogeneous linear system of partial differential equations with constant coefficients. These rest on the Fundamental Principle of Ehrenpreis-Palamodov from the 1960s. We develop this further using recent advances in computational commutative algebra.
Cite
@article{arxiv.2104.10146,
title = {Linear PDE with Constant Coefficients},
author = {Rida Ait El Manssour and Marc Härkönen and Bernd Sturmfels},
journal= {arXiv preprint arXiv:2104.10146},
year = {2021}
}
Comments
31 pages, 1 figure