Half-range completeness for the Fokker-Planck equation |
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| Authors: | R Beals V Protopopescu |
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| Institution: | 1. Department of Mathematics, Yale University, USA
2. Department of Chemistry, Yale University and Service de Physique Théorique, CEN-Saclay, France
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| 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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