Blow-up behavior for a semilinear heat equation with a nonlinear boundary condition
Fu, Sheng-Chen ; Guo, Jong-Shenq ; Tsai, Je-Chiang
Tohoku Math. J. (2), Tome 55 (2003) no. 2, p. 565-581 / Harvested from Project Euclid
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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.
Publié le : 2003-12-14
Classification:  35K57,  35B40 
@article{1113247131,
     author = {Fu, Sheng-Chen and Guo, Jong-Shenq and Tsai, Je-Chiang},
     title = {Blow-up behavior for a semilinear heat equation with a nonlinear boundary condition},
     journal = {Tohoku Math. J. (2)},
     volume = {55},
     number = {2},
     year = {2003},
     pages = { 565-581},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1113247131}
}

Fu, Sheng-Chen; Guo, Jong-Shenq; Tsai, Je-Chiang. Blow-up behavior for a semilinear heat equation with a nonlinear boundary condition. Tohoku Math. J. (2), Tome 55 (2003) no. 2, pp.  565-581. http://gdmltest.u-ga.fr/item/1113247131/