Physical problems with discontinuous initial conditions.
type: Item
instance of: scholarly article
title: Physical problems with discontinuous initial conditions.
zbMATH Open document ID: 56.1059.01
author: H. Bateman
published in: Proceedings of the National Academy of Sciences of the United States of America
publication date: 1930-01-01T00:00:00Z
full work available at URL: PMC1075971
review text: Die Absicht des Verf. ist, vollständige Systeme von fundamentalen Lösungen für die wichtigsten partiellen Differentialgleichungen der mathematischen Physik zu finden. Die vorliegende Abhandlung, in der die Gleichungen \[ \begin{gathered} \frac{\partial v}{\partial r}=\frac{\partial ^2v}{\partial x^2},\quad \frac{\partial^2 u}{\partial t^2}= \frac{\partial^2 u}{\partial x^2}, \\ \frac{\partial v}{\partial t}=\frac{\partial ^2v}{\partial x^2} + \frac{\partial^2v}{\partial y^2}+\frac{\partial^2v}{\partial z^2},\quad \frac{\partial^2u}{\partial t^2}=\frac{\partial^2u}{\partial x^2}+ \frac{\partial^2u}{\partial y^2}+\frac{\partial^2u}{\partial z^2} \end{gathered} \] mit unstetigen Anfangsbedingungen betrachtet werden, bringt nur einige vorläufige Ergebnisse.
zbMATH DE Number: 2567114
Wikidata QID: Q33238674
MaRDI profile type: Publication
OpenAlex ID: W2040352079
DOI: 10.1073/PNAS.16.3.205
description: scientific article; zbMATH DE number 2567114