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Half-range completeness for the Fokker-Planck equation

Research paper by R. Beals, V. Protopopescu

Indexed on: 01 Sep '83Published on: 01 Sep '83Published in: Journal of Statistical Physics



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.