Matches in DBpedia 2014 for { ?s ?p 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) andBernard Malgrange (1955–1956).This means that the differential equationwhere 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 thathas a solution for any distribution f. The solution is not unique in general. The analogue for differential operators whose coefficients are polynomials (rather than constants) is false: see Lewy's example.. }
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- Malgrange–Ehrenpreis_theorem abstract "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) andBernard Malgrange (1955–1956).This means that the differential equationwhere 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 thathas a solution for any distribution f. The solution is not unique in general. The analogue for differential operators whose coefficients are polynomials (rather than constants) is false: see Lewy's example.".