Geodesic
On One Nonlinear Boundary-Value Problem in Kinetic Theory of Gases
Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 10 (2014) no. 3, pp. 320-327 
A. Kh. Khachatryan; Kh. A. Khachatryan; T. H. Sardaryan. On One Nonlinear Boundary-Value Problem in Kinetic Theory of Gases. Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 10 (2014) no. 3, pp. 320-327. http://geodesic.mathdoc.fr/item/JMAG_2014_10_3_a3/
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Voir la notice de l'article provenant de la source Math-Net.Ru

In the paper, the solvability of one nonlinear boundary-value problem arising in kinetic theory of gases is studied. We prove the existence of global solvability of a boundary-value problem in the Sobolev space $W_{\infty}^1(\mathbb{R}^+).$ The limit of the solution is found by using some a'priori estimations. For the case of power nonlinearity, the uniqueness of the solution in a certain class of functions is proved. Some examples illustrating the obtained results are given.

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