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Global existence and blowup of a nonlocal problem in space with free boundary

โœ Scribed by Peng Zhou; Zhigui Lin

Book ID
113710247
Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
186 KB
Volume
262
Category
Article
ISSN
0022-1236

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Global existence and blowup of a localiz
Global existence and blowup of a localized problem with free boundary
โœ Peng Zhou; Jie Bao; Zhigui Lin ๐Ÿ“‚ Article ๐Ÿ“… 2011 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 260 KB

This paper is concerned with a double fronts free boundary problem for the heat equation with a localized nonlinear reaction term. The local existence and uniqueness of the solution are given by applying the contraction mapping theorem. Then we present some conditions so that the solution blows up i