Release Time:2019-03-09  Hits:

Indexed by: Journal Article

Date of Publication: 2009-09-15

Journal: JOURNAL OF DIFFERENTIAL EQUATIONS

Included Journals: Scopus、SCIE

Volume: 247

Issue: 6

Page Number: 1720-1745

ISSN: 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.