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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.
Received: 23.05.2000
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
Linking options:
https://www.mathnet.ru/eng/mzm1015https://doi.org/10.4213/mzm1015 https://www.mathnet.ru/eng/mzm/v68/i6/p917
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Abstract page: | 374 | Full-text PDF : | 204 | References: | 53 | First page: | 1 |
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