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Matematicheskie Zametki, 2000, Volume 68, Issue 6, Pages 917–934
DOI: https://doi.org/10.4213/mzm1015 (Mi mzm1015) 		 
Asymptotics of the Solution to the Cauchy Problem for Linear Parabolic Equations of Second Order with Small Diffusion

V. M. Khametov

Moscow State Institute of Electronics and Mathematics (Technical University)
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DOI: https://doi.org/10.4213/mzm1015
Abstract: This paper is devoted to constructing an asymptotics of the solution to the Cauchy problem for a linear parabolic equation of second order with variable coefficients containing a small parameter at the highest derivative. Sufficient conditions for the existence and uniqueness of the “multiplicative” asymptotic expansion of the global solution of the problem are given.
Received: 23.05.2000
English version:
Mathematical Notes, 2000, Volume 68, Issue 6, Pages 775–789
DOI: https://doi.org/10.1023/A:1026668902173
Bibliographic databases:
UDC: 519
Language: Russian
Citation: V. M. Khametov, “Asymptotics of the Solution to the Cauchy Problem for Linear Parabolic Equations of Second Order with Small Diffusion”, Mat. Zametki, 68:6 (2000), 917–934; Math. Notes, 68:6 (2000), 775–789
Citation in format AMSBIB
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