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Note on Critical Exponents for a System of Heat Equations Coupled in the Boundary Conditions

✍ Scribed by Shu Wang; Chunhong Xie; Mingxin Wang

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
137 KB
Volume
218
Category
Article
ISSN
0022-247X

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✦ Synopsis

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.

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