Huygens equations and spherical waves
type: Item
instance of: scholarly article
title: Huygens equations and spherical waves
zbMATH Open document ID: 0601.35064
DOI: 10.1016/0022-0396(86)90067-7
author: Jyoichi Kaneko
published in: Journal of Differential Equations
publication date: 1986-01-01T00:00:00Z
review text: The Courant conjecture is proved, namely that families of spherical waves of order zero for arbitrary time-like curves exist only in the case of two and four variables, and then only if the differential equation is equivalent by trivial transformations to ordinary wave equation.
Mathematics Subject Classification ID: 35L25
zbMATH DE Number: 3969187
zbMATH Keywords: second-order linear hyperbolic equations
zbMATH Keywords: Huygens equations
zbMATH Keywords: Huygens' principle
zbMATH Keywords: Courant conjecture
zbMATH Keywords: spherical waves
zbMATH Keywords: time-like curves
MaRDI profile type: Publication
full work available at URL: 0022-0396(86)90067-7
OpenAlex ID: W1965819616
cites work: Q3999241
cites work: Q4076197
cites work: Ein Beispiel einer nichttrivialen Huygensschen Differentialgleichung mit vier unabhängigen Variablen
cites work: Q3310273
cites work: Q5823736
description: scientific article; zbMATH DE number 3969187