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- Title
Reconstruction of the right-hand part of kinetic equation.
- Authors
Bardakov, V. G.
- Abstract
On an Euclidean plane R² with coordinates (x, y), a closed bounded region M with a smooth boundary ∂M and metrics g of form ds² = e²[supµ(x,y)] (dx² + dy²) (µ = µ(x,y) ∈ C [sup∞] (M)) is considered. The inverse problem of recovering functions u = u(x, y, ϑ) ∈ C[sup4] (ΩM) f[subi] = f[subi] (x,y) ∈ C³ (M), i = 0, 1, 2, 3, 4, which satisfy an kinetic equation and boundary conditions is investigated. The solution non-uniqueness set is described. The functions u and f[subi] in (1) are proved to be uniquely defined by a proper choice of some three differentiable functions.
- Subjects
EUCLIDEAN algorithm; ALGORITHMS; NUMBER theory; BOUNDARY value problems; DIFFERENTIAL equations; REAL variables; MATHEMATICAL functions
- Publication
Journal of Inverse & Ill-Posed Problems, 2003, Vol 11, Issue 5, p475
- ISSN
0928-0219
- Publication type
Article
- DOI
10.1515/156939403770888228