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论文类型：期刊论文

发表时间：2013-01-01

发表刊物：JOURNAL OF DIFFERENTIAL EQUATIONS

收录刊物：SCIE

卷号：254

期号：1

页面范围：1-29

ISSN号：0022-0396

关键字：Traveling waves; Degenerate; Existence; Convergent rate; Delay

摘要：This paper deals with traveling wave solutions for a degenerate parabolic equation with time delay. We first establish the necessary and sufficient conditions to the existence of monotone nonincreasing and nondecreasing traveling wave solutions, which correspond to a unique wave speed c*(tau) respectively. It will be shown that the traveling wave may be a semi-finite, or infinite traveling wave under different exponents. Furthermore, we give an accurate estimation on the convergent rate for the semi-finite or infinite traveling waves. (c) 2012 Elsevier Inc. All rights reserved.