No-go theorem on reduction operators of linear second-order parabolic equations

The problem on description of the reduction operators, i.e. the operators of nonclassical (conditional) symmetry, of an arbitrary second-order linear parabolic partial differential equation in two independent variables proves to be equivalent, in some sense, to solving the initial equation.

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Bibliographische Detailangaben
Datum:2006
Hauptverfasser: Popovych, R., Попович, Р.
Format: Artikel
Sprache:Englisch
Veröffentlicht: Інститут математики НАН України 2006
Online Zugang:https://trim.imath.kiev.ua/index.php/trim/article/view/467
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Назва журналу:Transactions of Institute of Mathematics of NAS of Ukraine
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Transactions of Institute of Mathematics of NAS of Ukraine