Half-range completeness for the Fokker-Planck equation. I
type: Item
instance of: scholarly article
title: Half-range completeness for the Fokker-Planck equation. I
zbMATH Open document ID: 0571.35088
DOI: 10.1007/BF01008957
published in: Journal of Statistical Physics
publication date: 1983-01-01T00:00:00Z
review text: 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.
Mathematics Subject Classification ID: 35Q99
Mathematics Subject Classification ID: 35K20
Mathematics Subject Classification ID: 82C70
zbMATH DE Number: 3910934
zbMATH Keywords: Half-range completeness
zbMATH Keywords: eigenfunctions
zbMATH Keywords: Fokker-Planck equation
zbMATH Keywords: semi- infinite medium
zbMATH Keywords: Existence
zbMATH Keywords: uniqueness
author: Richard Beals
author: V. Protopopescu
MaRDI profile type: Publication
cites work: On the Theory of the Brownian Motion II
cites work: A functional‐analytic derivation of case's full and half‐range formulas
cites work: Linear analysis and solution of neutron transport problems
cites work: Analytic solution of the temperature jump problem for the BGK model
cites work: A constructive approach to the solution of a class of boundary value problems of mixed type
cites work: An abstract treatment of some forward-backward problems of transport and scattering
cites work: Partial-range completeness and existence of solutions to two-way diffusion equations
cites work: Representation of fractional powers of infinitesimal generators of semigroups
cites work: Sur une équation d'évolution changeant de type
full work available at URL: https://doi.org/10.1007/bf01008957
OpenAlex ID: W2006555350
description: scientific article; zbMATH DE number 3910934