Abstract:
A projection-type condition is discussed that is sufficient for the stationary Fokker–Planck equation $\Delta u-\operatorname{div}(u\mathbf f)=0$ to be solvable within a class of probability density functions. Based on existence theorems and estimates of positive solutions obtained by the author, a fairly large class of vector fields $\mathbf f$ satisfying this condition is proposed.
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