Vol. 174, No. 1, 1996

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On the Cauchy problem for a singular parabolic equation

Xiangsheng Xu

Vol. 174 (1996), No. 1, 277–294
Abstract

The existence of a renormalized solution is established for the Cauchy problem for the parabolic P-Laplacain equation in which p is allowed to be close to 1 and the initial data are only assumed to be locally integrable.

Mathematical Subject Classification 2000
Primary: 35K65
Secondary: 35K55
Milestones
Received: 23 November 1993
Published: 1 May 1996
Authors
Xiangsheng Xu
Department of Mathematics and Statistics
Mississippi State University
MS 39762
United States