Malgrange–Ehrenpreis theorem
id:
malgrange-ehrenpreis-theorem-254-11469106
title:
Malgrange–Ehrenpreis theorem
text:
In mathematics, the Malgrange–Ehrenpreis theorem states that every non-zero linear differential operator with constant coefficients has a Green's function. It was first proved independently by Leon Ehrenpreis (1954, 1955) and
Bernard Malgrange (1955–1956). This means that the differential equation where P is a polynomial in several variables and δ is the Dirac delta function, has a distributional solution u . It can be used to show that has a solution for any compactly supported distribution f .
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wiki
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encyclopedia
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https://en.wikipedia.org/wiki/Malgrange%E2%80%93Ehrenpreis_theorem
date created:
date modified:
2024-01-08T17:44:48Z
main entity:
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