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A survey on integration of parabolic equations by reducing them to the heat equation
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2011 (English)In: Contemporary mathematics / [ed] Blázquez-Sanz, David; Morales-Ruiz, Juan J.; Lombardero, Jesús Rodríguez, AMS (American Mathematical society) , 2011Chapter in book (Refereed)
Abstract [en]

The present paper is a survey of results [1], [2] on extension of Euler’s method for solving hyperbolic equations with one spatial variable to parabolic equations. The new method, based on the invariants of parabolic equations, allows one to identify all linear parabolic equations reducible to the heat equation and find their general solution. The method is illustrated by several examples.

Place, publisher, year, edition, pages
AMS (American Mathematical society) , 2011.
Keyword [en]
Parabolic equations, Semi-invariant, Reducible equations
National Category
Mathematics Mathematical Analysis
URN: urn:nbn:se:bth-6971ISI: 000294364000003Local ID: 978-0-8218-6872-0OAI: diva2:834533
Volume title : Symmetries and Related Topics in Differential and Difference Equations Also a Conference paper: 3rd Jairo Charris Seminar on Symmetries of Differential and Difference Equations Location: Univ Sergio Arboleda, Bogota, COLOMBIA Date: AUG, 2009Available from: 2013-05-31 Created: 2012-08-24 Last updated: 2015-06-30Bibliographically approved

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