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 Mat. Zametki: Year: Volume: Issue: Page: Find

 Mat. Zametki, 2000, Volume 68, Issue 6, Pages 917–934 (Mi mz1015)

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)

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.

DOI: https://doi.org/10.4213/mzm1015

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English version:
Mathematical Notes, 2000, 68:6, 775–789

Bibliographic databases:

UDC: 519

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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