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Blow-up and global existence for the heat equation with nonlinear absorption-diffusion

โœ Scribed by Hai-liang Zhang; Xiu-lan Guo


Book ID
107482782
Publisher
Chinese Electronic Periodical Services
Year
2010
Tongue
English
Weight
140 KB
Volume
14
Category
Article
ISSN
1007-6417

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โœ Fucai Li; Chunhong Xie ๐Ÿ“‚ Article ๐Ÿ“… 2003 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 405 KB

In this paper, we investigate the positive solution of nonlinear nonlocal porous medium equation ut -Aum = auP f~ uq dx with homogeneous Dirichlet boundary condition and positive initial value u0(x), where m > 1, p, q > 0. Under appropriate hypotheses, we establish the local existence and uniqueness