The profile near blowup time for solution of the heat equation with a nonlinear boundary condition

Authors:
Bei Hu and Hong-Ming Yin

Journal:
Trans. Amer. Math. Soc. **346** (1994), 117-135

MSC:
Primary 35B40; Secondary 35B05, 35K60

DOI:
https://doi.org/10.1090/S0002-9947-1994-1270664-3

MathSciNet review:
1270664

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Abstract: This paper studies the blowup profile near the blowup time for the heat equation with the nonlinear boundary condition on . Under certain assumptions, the exact rate of the blowup is established. It is also proved that the blowup will not occur in the interior of the domain. The asymptotic behavior near the blowup point is also studied.

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Additional Information

DOI:
https://doi.org/10.1090/S0002-9947-1994-1270664-3

Keywords:
Blowup rate,
asymptotic behavior,
elliptic estimates,
parabolic estimates

Article copyright:
© Copyright 1994
American Mathematical Society