scholarly journals Linear PDE with constant coefficients

2021 ◽  
pp. 1-26
Author(s):  
Rida Ait El Manssour ◽  
Marc Härkönen ◽  
Bernd Sturmfels
Keyword(s):  
Partial Differential Equations ◽  
Linear System ◽  
Differential Equations ◽  
Commutative Algebra ◽  
Fundamental Principle ◽  
Partial Differential ◽  
Linear Pde ◽  
Constant Coefficients ◽  
The 1960S ◽  
Homogeneous Linear

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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