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Invariants of linear parabolic differential equations
Responsible organisation
2008 (English)In: Communications in nonlinear science & numerical simulation, ISSN 1007-5704, 277-284 p.Article in journal (Refereed) Published
Abstract [en]

The paper is dedicated to construction of invariants for the parabolic equation u(t) + a(t, x)u(xx) + b(t, x)u(x) + c(t, x)u = 0. We consider the equivalence group given by point transformations and find all invariants up to seventh-order, i.e. the invariants involving the derivatives up to seventh-order of the coefficients a, b and c with respect to the independent variables t, x. (c) 2006 Elsevier B.V. All rights reserved.

Place, publisher, year, edition, pages
AMSTERDAM: ELSEVIER SCIENCE BV , 2008. 277-284 p.
Keyword [en]
parabolic equations, equivalence transformation, semi-invariants, invariants
National Category
Mathematics Mathematical Analysis
Identifiers
URN: urn:nbn:se:bth-8163DOI: 10.1016/j.cnsns.2006.03.017ISI: 000254601700006Local ID: oai:bth.se:forskinfoBF25C44840146D64C12575B000210278OAI: oai:DiVA.org:bth-8163DiVA: diva2:835852
Available from: 2012-09-18 Created: 2009-05-08 Last updated: 2015-06-30Bibliographically approved

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CiteExportLink to record
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