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.
A Note on Optimal Systems for the Heat Equation
β Scribed by Kai-Seng Chou; Guan-Xin Li; Changzheng Qu
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 102 KB
- Volume
- 261
- Category
- Article
- ISSN
- 0022-247X
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