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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2011, Volume 51, Number 5, Pages 872–880 (Mi zvmmf9337)  
On a nonlinear eigenmode problem in semiconductor theory

M. O. Korpusov, A. G. Sveshnikov

Faculty of Physics, Moscow State University, Moscow, 119992 Russia
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Abstract: A model problem in semiconductor physics concerning the natural electrical oscillations in a semiconductor with allowance for strong dissipation and negative differential conductivity is considered. This is a nonlinear boundary value problem, and its solvability is proved by applying S. I. Pohozaev's method of spherical fibering.
Key words: nonlinear eigenmode problem, semiconductor theory, spherical fibering method, solvability proof for a nonlinear boundary value problem.
Received: 30.11.2009
English version:
Computational Mathematics and Mathematical Physics, 2011, Volume 51, Issue 5, Pages 816–823
DOI: https://doi.org/10.1134/S0965542511050083
Bibliographic databases:
Document Type: Article
UDC: 519.63
Language: Russian
Citation: M. O. Korpusov, A. G. Sveshnikov, “On a nonlinear eigenmode problem in semiconductor theory”, Zh. Vychisl. Mat. Mat. Fiz., 51:5 (2011), 872–880; Comput. Math. Math. Phys., 51:5 (2011), 816–823
Citation in format AMSBIB
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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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