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On local and global properties of solutions of semilinear equations with principal part of the type of a degeneratingp-Laplacian

โœ Scribed by F. I. Mamedov; R. A. Amanov

Book ID
110158284
Publisher
Springer
Year
2007
Tongue
English
Weight
370 KB
Volume
43
Category
Article
ISSN
0012-2661

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โœ Gary M. Lieberman ๐Ÿ“‚ Article ๐Ÿ“… 1993 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 780 KB

## Abstract We study global solutions of u~t~=ฮ”__u__ + __f__(__u__, D__u__) with zero boundary data. Under suitable hypotheses on __f__, we show that an energy, which is roughly the __H__^1^ norm of __u__, cannot change too rapidly. When __f__ depends only on __u__, this estimate implies that all g