Geodesic
Asymptotics of the Solution to the Cauchy Problem for Linear Parabolic Equations of Second Order with Small Diffusion
Matematičeskie zametki, Tome 68 (2000) no. 6, pp. 917-934.

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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. 
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V. M. Khametov. Asymptotics of the Solution to the Cauchy Problem for Linear Parabolic Equations of Second Order with Small Diffusion. Matematičeskie zametki, Tome 68 (2000) no. 6, pp. 917-934. http://geodesic.mathdoc.fr/item/MZM_2000_68_6_a12/

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