Asymptotic Properties of Solutions of Parabolic Equations Arising from Transient Diffusions期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

Asymptotic Properties of Solutions of Parabolic Equations Arising from Transient Diffusions

Authors:	A.?M.?Il'in author-information" > author-information__contact u-icon-before" > mailto:iam@imm.uran.ru" title=" iam@imm.uran.ru" itemprop=" email" data-track=" click" data-track-action=" Email author" data-track-label=" " >Email author,R.?Z.?Khasminskii,G.?Yin

Affiliation:	(1) Institute of Mathematics and Mechanics of Russian Academy Ural Branch, Ekaterinburg, Russia (E-mail: iam@imm.uran.ru), RU;(2) Department of Mathematics, Wayne State University, Detroit, MI 48202 (E-mail: rafail@math.wayne.edu), US;(3) Department of Mathematics, Wayne State University, Detroit, MI 48202 (E-mail: gyin@math.wayne.edu), US

Abstract:	This work is concerned with asymptotic properties of a class of parabolic systems arising from singularly perturbed diffusions. The underlying system has a fast varying component and a slowly changing component. One of the distinct features is that the fast varying diffusion is transient. Under such a setup, this paper presents an asymptotic analysis of the solutions of such parabolic equations. Asymptotic expansions of functional satisfying the parabolic system are obtained. Error bounds are derived.

Keywords:	Singular perturbation diffusion backward operator asymptotic expansion
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