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论文类型：期刊论文

发表时间：2009-09-15

发表刊物：JOURNAL OF DIFFERENTIAL EQUATIONS

收录刊物：SCIE、Scopus

卷号：247

期号：6

页面范围：1720-1745

ISSN号：0022-0396

关键字：Cauchy problem; Singular p-Laplacian equation; Gradient term; Source; Measures as initial data; Initial trace

摘要：In this paper we study the Cauchy problem for the singular evolution p-Laplacian equations with gradient term and source on the assumption of measures as initial conditions. For the supercritical case q > p - 1 + p/N, we obtain that for every nonnegative solution there exists a nonnegative Radon measure mu as initial trace and mu has some local regularity. (C) 2009 Elsevier Inc. All rights reserved.