Reconstruction of the right-hand part of kinetic equation

Verfasser / Beitragende:
[V. G. Bardakov]
Ort, Verlag, Jahr:
2003
Enthalten in:
Journal of Inverse and Ill-posed Problems, 11/5(2003-12-01), 475-484
Format:
Artikel (online)
ID: 378854240
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100 1 |a Bardakov  |D V. G.  |u Sobolev Institute of Mathematics, Siberian Branch of Russian Academy of Science, Acad. Koptyug prosp., 4, Novosibirsk, 630090, Russia. E-mail: bardakov@math.nsc.ru 
245 1 0 |a Reconstruction of the right-hand part of kinetic equation  |h [Elektronische Daten]  |c [V. G. Bardakov] 
520 3 |a On an Euclidean plane with coordinates (x, y), a closed bounded region M with a smooth boundary ∂M and metrics g of form ds 2 = e2μ(x,y) (dx 2+ dy 2) (μ = μ(x,y) ∈ C∞ (M)) is considered. The inverse problem of recovering functions u = u(x,y,θ) ∈ C 4(ΩM) and f i = f i (x,y) ∈ C 3(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 i in (1) are proved to be uniquely defined by a proper choice of some three differentiable functions. 
540 |a Copyright 2003, Walter de Gruyter 
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950 |B NATIONALLICENCE  |P 100  |E 1-  |a Bardakov  |D V. G.  |u Sobolev Institute of Mathematics, Siberian Branch of Russian Academy of Science, Acad. Koptyug prosp., 4, Novosibirsk, 630090, Russia. E-mail: bardakov@math.nsc.ru 
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