We found a match
Your institution may have rights to this item. Sign in to continue.
- Title
On probability and integrable solutions to the stationary Kolmogorov equation.
- Authors
Bogachev, V. I.; Kirillov, A. I.; Shaposhnikov, S. V.
- Abstract
The article examines the probability and integral solutions to the fixed Kolmogorov equation, L*μ = 0. It analyzes the circumstances that probability solutions are given unique integral solution up to multiplication by a constant. It notes that the uniqueness in the class of probability solutions and the uniqueness in the class of integrable solutions are varied constructs that are already in dimension d = 1. It considers the validity of the given theorems, asserting that theorems 3 and 5 need additional conditions on the manifold.
- Subjects
PROBABILITY theory; NUMERICAL solutions to equations; INTEGRAL theorems; MANIFOLDS (Mathematics); MATHEMATICAL constants; ALGEBRA; NUMERICAL analysis; DIFFERENTIAL equations; MATHEMATICS
- Publication
Doklady Mathematics, 2011, Vol 83, Issue 3, p309
- ISSN
1064-5624
- Publication type
Article
- DOI
10.1134/S1064562411030112