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.
| Original language | English |
|---|---|
| Pages (from-to) | 565-584 |
| Number of pages | 20 |
| Journal | Journal of Statistical Physics |
| Volume | 32 |
| Issue number | 3 |
| DOIs | |
| State | Published - Sep 1983 |
| Externally published | Yes |
Keywords
- Fokker-Planck equation (stationary and time dependent)
- boundary conditions (perfectly absorbing, partially absorbing, purely specularly reflecting)
- half-range completeness
- semi-infinite medium
- slab geometry