Abstract
Half-range completeness theorems are proved for eigenfunctions associated to the one-dimensional Fokker-Planck equation in a semi-infinite medium. Existence and uniqueness results for perfectly absorbing, partially absorbing, and purely specularly reflecting boundary conditions are deduced for the stationary and time-dependent problems. Similar results are obtained for a slab geometry.
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Beals, R., Protopopescu, V. Half-range completeness for the Fokker-Planck equation. J Stat Phys 32, 565–584 (1983). https://doi.org/10.1007/BF01008957
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DOI: https://doi.org/10.1007/BF01008957