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DIFFERENTIAL EQUATIONS ON GRAPHS

Name: DIFFERENTIAL EQUATIONS ON GRAPHS
Creator: A. I. Vol'pert
Keywords: 0103 physical sciences, Initial value problems for nonlinear first-order PDEs, 0101 mathematics, Second-order parabolic systems, A priori estimates in context of PDEs, 01 natural sciences

Differential equations on graphs

descriptionPublicationkeyboard_double_arrow_right Article 30 Apr 1972Publisher:Steklov Mathematical InstituteJournal:Mathematics of the USSR-Sbornik, volume 17, pages 571-582 (issn: 0025-5734,

Authors: A. I. Vol'pert;

doi: 10.1070/sm1972v017n04abeh001603 , 10.1051/mmnp/201510502

DIFFERENTIAL EQUATIONS ON GRAPHS

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Abstract

The differential equations encountered in various applications may be treated as equations on graphs. In the paper it is shown that the structure of the graph allows us to investigate the properties of the solutions of such equations. Bibliography: 3 items.

Keywords

Initial value problems for nonlinear first-order PDEs, Second-order parabolic systems, A priori estimates in context of PDEs

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).	72
	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 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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