We consider the most general two dimensional linear parabolic equations. Motivated by the recent work of Ibragimov et al. [1–3] we construct differential invariants, semi-invariants and invariant equations. These results are achieved with the employment of the equivalence group admitted by this class of parabolic equations. We derive those variable coefficient equations of this class of linear parabolic equations that can be mapped into constant coefficient equations. Further applications are presented.

On the invariants of two dimensional linear parabolic equations

TRACINA', RITA
2012-01-01

Abstract

We consider the most general two dimensional linear parabolic equations. Motivated by the recent work of Ibragimov et al. [1–3] we construct differential invariants, semi-invariants and invariant equations. These results are achieved with the employment of the equivalence group admitted by this class of parabolic equations. We derive those variable coefficient equations of this class of linear parabolic equations that can be mapped into constant coefficient equations. Further applications are presented.
2012
Parabolic equations; Equivalence transformations; Differential invariants
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11769/62030
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