Endre søk
RefereraExporteraLink to record
Permanent link

Direct link
Referera
Referensformat
  • apa
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Annet format
Fler format
Språk
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Annet språk
Fler språk
Utmatningsformat
  • html
  • text
  • asciidoc
  • rtf
Laplace type invariants for parabolic equations
Ansvarlig organisasjon
2002 (engelsk)Inngår i: Nonlinear dynamics, ISSN 0924-090X, E-ISSN 1573-269X, s. 125-133Artikkel i tidsskrift (Fagfellevurdert) Published
Abstract [en]

The Laplace invariants pertain to linear hyperbolic differential equations with two independent variables. They were discovered by Laplace in 1773 and used in his integration theory of hyperbolic equations. Cotton extended the Laplace invariants to elliptic equations in 1900. Cotton's invariants can be obtained from the Laplace invariants merely by the complex change of variables relating the elliptic and hyperbolic equations. To the best of my knowledge, the invariants for parabolic equations were not found thus far. The purpose of this paper is to fill this gap by considering what will be called Laplace type invariants (or seminvariants), i.e. the quantities that remain unaltered under the linear transformation of the dependent variable. Laplace type invariants are calculated here for all hyperbolic, elliptic and parabolic equations using the unified infinitesimal method. A new invariant is found for parabolic equations.

sted, utgiver, år, opplag, sider
DORDRECHT: KLUWER ACADEMIC PUBL , 2002. s. 125-133
Emneord [en]
hyperbolic, elliptic and parabolic equations, equivalence transformation, seminvariants, Laplace type invariants
HSV kategori
Identifikatorer
URN: urn:nbn:se:bth-8161ISI: 000174933300003Lokal ID: oai:bth.se:forskinfo7E947603A8B7EB39C12575B00021057EOAI: oai:DiVA.org:bth-8161DiVA, id: diva2:835850
Tilgjengelig fra: 2012-09-18 Laget: 2009-05-08 Sist oppdatert: 2017-12-04bibliografisk kontrollert

Open Access i DiVA

Fulltekst mangler i DiVA

I samme tidsskrift
Nonlinear dynamics

Søk utenfor DiVA

GoogleGoogle Scholar

urn-nbn

Altmetric

urn-nbn
Totalt: 79 treff
RefereraExporteraLink to record
Permanent link

Direct link
Referera
Referensformat
  • apa
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Annet format
Fler format
Språk
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Annet språk
Fler språk
Utmatningsformat
  • html
  • text
  • asciidoc
  • rtf