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Blow up problems for a degenerate parabolic equation with nonlocal source and nonlocal nonlinear boundary condition

โœ Scribed by Guangsheng Zhong, Lixin Tian

Book ID
119906860
Publisher
Springer International Publishing AG
Year
2012
Tongue
English
Weight
212 KB
Volume
2012
Category
Article
ISSN
1687-2762

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๐Ÿ“œ SIMILAR VOLUMES

Blow-up for a degenerate parabolic equat
Blow-up for a degenerate parabolic equation with a nonlocal source
โœ Qilin Liu; Youpeng Chen; Chunhong Xie ๐Ÿ“‚ Article ๐Ÿ“… 2003 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 156 KB

In this paper, we investigate the blowup properties of the positive solutions to the following nonlocal degenerate parabolic equation with homogeneous Dirichlet boundary conditions in the interval (0, l), where 0 < ฮฑ < 2, p 1 q 1 > m > 1. We first establish the local existence and uniqueness of its

Existence and blow-up for a degenerate p
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โœ Fucai Li; Chunhong Xie ๐Ÿ“‚ Article ๐Ÿ“… 2003 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 134 KB

In this paper, we investigate the positive solution of nonlinear degenerate equation ut = u p ( u+au u q d x) with Dirichlet boundary condition. Conditions on the existence of global and blow-up solution are given. Furthermore, it is proved that there exist two positive constants C1; C2 such that