Fundamental Solutions

Svetlin G. Georgiev ()
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Svetlin G. Georgiev: University of Sofia “St. Kliment Ohridski”, Department of Differential Equations Faculty of Mathematics and Informatics

Chapter Chapter 9 in Theory of Distributions, 2021, pp 219-230 from Springer

Abstract: Abstract In this chapter it is given a definition for a fundamental solution of a differential operator. It is proved the classical Malgrange-Eherenpreis theorem. As applications, they are deducted the fundamental solutions for ordinary differential operators, the heat operator and the Laplace operator.

Keywords: Fundamental solution; Malgrange-Ehrenpreis theorem; Heat operator; Laplace operator (search for similar items in EconPapers)
Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-030-81265-2_9

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DOI: 10.1007/978-3-030-81265-2_9

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