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The First Boundary-Value Problem for the Fokker–Planck Equation with One Spatial Variable.
- Source :
-
Journal of Mathematical Sciences . Aug2024, Vol. 283 Issue 3, p397-401. 5p. - Publication Year :
- 2024
-
Abstract
- The Fokker–Planck equation with one spatial variable without the lowest term is considered. The diffusion coefficient is assumed to be measurable, bounded, and separated from zero. The existence of a weak fundamental solution of the Fokker–Planck equation is proved and some properties of this solution are established. Under the additional assumption that the leading coefficient is a Hölder function, we consider the first boundary-value problem in a semi-bounded domain. We assume that the right-hand side of the equation and the initial function are zero and the boundary function is continuous. We prove the solvability of this problem in the class of bounded functions. [ABSTRACT FROM AUTHOR]
- Subjects :
- *BOUNDARY value problems
*DIFFUSION coefficients
*CONTINUOUS functions
*EQUATIONS
Subjects
Details
- Language :
- English
- ISSN :
- 10723374
- Volume :
- 283
- Issue :
- 3
- Database :
- Academic Search Index
- Journal :
- Journal of Mathematical Sciences
- Publication Type :
- Academic Journal
- Accession number :
- 178914196
- Full Text :
- https://doi.org/10.1007/s10958-024-07267-x