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The critical exponent for a weakly coupled system of the generalized Fujita type reaction-diffusion equations

โœ Scribed by Yoshitaka Uda

Publisher
Springer
Year
1995
Tongue
English
Weight
564 KB
Volume
46
Category
Article
ISSN
0044-2275

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๐Ÿ“œ SIMILAR VOLUMES

Note on Critical Exponents for a System
Note on Critical Exponents for a System of Heat Equations Coupled in the Boundary Conditions
โœ Shu Wang; Chunhong Xie; Mingxin Wang ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 137 KB

This note establishes the blow up estimates near the blow up time for a system of heat equations coupled in the boundary conditions. Under certain assumptions, the exact rate of blow up is established. We also prove that the only solution with vanishing initial values when pq G 1 is the trivial one.