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arXiv · 1408.0166

Lie symmetries of fundamental solutions of one (2+1)-dimensional ultra-parabolic Fokker--Planck--Kolmogorov equation

Sergii Kovalenko·Valeriy Stogniy·Maksym Tertychnyi
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Abstract

A (2+1)-dimensional linear ultra-parabolic Fokker--Planck--Kolmogorov equation is investigated from the group-theoretical point of view. By using the Berest--Aksenov approach, an algebra of invariance of fundamental solutions of the equation is found. A fundamental solution of the equation under study is computed in an explicit form as a weak invariant solution.

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Sergii Kovalenko, Valeriy Stogniy, Maksym Tertychnyi. 2014-08-01. Lie symmetries of fundamental solutions of one (2+1)-dimensional ultra-parabolic Fokker--Planck--Kolmogorov equation. https://arxiv.org/abs/1408.0166

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