Open AccessDegenerate elliptic equations and nonuniqueness of solutions to the Kolmogorov equation
Author(s) -
Т. И. Красовицкий
Publication year - 2019
Publication title -
doklady akademii nauk. rossijskaâ akademiâ nauk
Language(s) - English
Resource type - Journals
ISSN - 0869-5652
DOI - 10.31857/s0869-56524874361-364
Subject(s) - degenerate energy levels , bounded function , domain (mathematical analysis) , fokker–planck equation , mathematics , kolmogorov equations (markov jump process) , mathematical analysis , elliptic curve , mathematical physics , physics , partial differential equation , differential equation , quantum mechanics , ordinary differential equation , differential algebraic equation
In this paper we propose a new method of constructing examples of nonuniqueness of probability solutions by reducing the stationary Fokker-Planck-Kolmogorov equation to a degenerate elliptic equation on a bounded domain.