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arXiv · 2104.10146

Linear PDE with Constant Coefficients

Rida Ait El Manssour·Marc Härkönen·Bernd Sturmfels
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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.

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BibTeXRIS

Rida Ait El Manssour, Marc Härkönen, Bernd Sturmfels. 2021-10-13. Linear PDE with Constant Coefficients. https://arxiv.org/abs/2104.10146

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