Abstract
The stationary Fokker-Planck-Kolmogorov equation with complex diffusion coefficients and a complex vector-field is examined on a torus. Under suitable conditions for the diffusion coefficients, it is proven that a nontrivial solution exists and the solution space is multidimensional in some cases.
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Original Russian Text Copyright © 2014 Noarov A.I.
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Translated from Sibirskiĭ Matematicheskiĭ Zhurnal, Vol. 55, No. 3, pp. 573–579, May–June, 2014.
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Noarov, A.I. Nontrivial solvability of elliptic equations in divergence form with complex coefficients. Sib Math J 55, 465–470 (2014). https://doi.org/10.1134/S0037446614030082
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DOI: https://doi.org/10.1134/S0037446614030082