Proof Of The Existence Of Fundamental Solutions And Of Some Inequalities

Lars Hörmander ()
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Lars Hörmander: Lund University

Chapter Chapter 5 in Unpublished Manuscripts, 2018, pp 33-36 from Springer

Abstract: Abstract Let P(D) be a polynomial with constant coefficients. We shall construct a fundamental solution of P(D) and study its properties. The existence of fundamental solutions has been established previously by Malgrange (ref. [20] in [D]) and by Ehrenpreis ([B], [C]), but our proof is different and more elementary.

Date: 2018
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DOI: 10.1007/978-3-319-69850-2_5

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