Abstract
We study the blow-up behaviors of solutions of a semilinear heat equation with a nonlinear boundary condition. Under certain conditions, we prove that the blow-up point occurs only at the boundary. Then, by applying the well-known method of Giga-Kohn, we derive the time asymptotic of solutions near the blow-up time. Finally, we prove that the blow-up is complete.
Citation
Sheng-Chen Fu. Jong-Shenq Guo. Je-Chiang Tsai. "Blow-up behavior for a semilinear heat equation with a nonlinear boundary condition." Tohoku Math. J. (2) 55 (4) 565 - 581, 2003. https://doi.org/10.2748/tmj/1113247131
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