On the solvability of the transfer equation coupled with Boltzmann equation for two-level atoms

DOI10.17377/semi.2017.14.088MaRDI QIDQ1685392

A. Kh. Khachatryan, Varazdat Mnatsakanovich Kakhktsyan

Publication date: 13 December 2017

Published in: Sibirskie Èlektronnye Matematicheskie Izvestiya (Search for Journal in Brave)

zbMATH Keywords

Boltzmann equationnonlinear integral equationWiener-Hopf equationtwo-level atom

Mathematics Subject Classification ID

Particular nonlinear operators (superposition, Hammerstein, Nemytski?, Uryson, etc.) (47H30) Kinetic theory of gases in equilibrium statistical mechanics (82B40)

Cites Work

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• \(\Phi\)-harmonic functions on discrete groups and the first \(\ell^\Phi\)-cohomology
• Rough isometries and the parabolicity of Riemannian manifolds
• \(p\)-harmonic functions on graphs and manifolds
• Convolution equations and nonlinear functional equations
• A new proof of Gromov’s theorem on groups of polynomial growth

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