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Article type: Research Article
Authors: Zakharov, Sergei V.
Affiliations: Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, 16, S. Kovalevskaja street, 620219, Ekaterinburg GSP-384, Russia
Note: [] Address for correspondence: Sergei V. Zakharov, 20-99, Krasnolesya street, 620016, Ekaterinburg, Russia. Tel.: +7 3433753462; E-mail: svz@imm.uran.ru.
Abstract: The Cauchy problem for a quasi-linear parabolic equation with a small parameter ε at the higher derivative is considered. The derivative of the initial function is of order O(1/ρ), where ρ is another small parameter. We study the asymptotics of the solution of the problem in parameters ε and ρ tending to zero.
Keywords: Cauchy problem, two-parameter asymptotics
DOI: 10.3233/ASY-2008-0927
Journal: Asymptotic Analysis, vol. 63, no. 1-2, pp. 49-54, 2009
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