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Indexed by:期刊论文

Date of Publication:2009-09-15

Journal:JOURNAL OF DIFFERENTIAL EQUATIONS

Included Journals:SCIE、Scopus

Volume:247

Issue:6

Page Number:1720-1745

ISSN No.:0022-0396

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

Abstract: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.