Huygens' principle and Hadamard's conjecture
type: Item
instance of: scholarly article
title: Huygens' principle and Hadamard's conjecture
zbMATH Open document ID: 0729.35076
DOI: 10.1007/BF03024088
author: Paul Günther
published in: The Mathematical Intelligencer
publication date: 1991-01-01T00:00:00Z
review text: The present article explains the meaning of Huygens' principle for linear partial differential equations of normal hyperbolic type. The different behaviour of the solutions of such an equation with an odd or an even number of independent variables is pointed out and the famous criterion of J. Hadamard is reproduced. Hadamard also posed the problem to find all differential equations of normal hyperbolic type for which Huygens' principle is valid. The author describes the actual state of the efforts to solve this problem.
Mathematics Subject Classification ID: 35L10
Mathematics Subject Classification ID: 58J45
zbMATH DE Number: 4204950
zbMATH Keywords: Huygens' principle
zbMATH Keywords: normal hyperbolic type
Wikidata QID: Q123114638
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf03024088
OpenAlex ID: W2019673587
description: scientific article; zbMATH DE number 4204950