Linear PDE with Constant Coefficients

04/20/2021

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by   Rida Ait El Manssour, et al.

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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.