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The Dirichlet Problem for a Hyperbolic Equation

Name: The Dirichlet Problem for a Hyperbolic Equation
Creator: Fritz John
Keywords: Differential and integral equations of mathematical physics, etc.

The Dirichlet problem for a hyperbolic equation

descriptionPublicationkeyboard_double_arrow_right Part of book or chapter of book , Article 01 Jan 1941Publisher:Birkhäuser BostonJournal:American Journal of Mathematics, volume 63, page 141 (issn: 0002-9327,

Authors: Fritz John;

doi: 10.1007/978-1-4612-5409-6_28 , 10.2307/2371285 , 10.1007/978-1-4612-5406-5_28

The Dirichlet Problem for a Hyperbolic Equation

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Abstract

This paper deals with the Dirichlet problem for the hyperbolic differential equation $${U_{xy}} = 0$$ (1) i. e. with the problem of determining a solution u of (1) from given values on a closed curve C.1 Simple examples show that the Dirichlet problem for a hyperbolic equation has a completely different character from that of the corresponding problem for an elliptic equation such as the potential equation $${U_{xx}} + {U_{yy}} = 0$$ (2)

Keywords

Differential and integral equations of mathematical physics, etc.

Impact byBIP!

	citations This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	106
	popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.	Top 10%
	influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	Top 0.1%
	impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.	Average

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