TY - JOUR
T1 - Blow-up behavior for a semilinear heat equation with a nonlinear boundary condition
AU - Fu, Sheng Chen
AU - Guo, Jong Shenq
AU - Tsai, Je Chiang
PY - 2003
Y1 - 2003
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=1642491911&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=1642491911&partnerID=8YFLogxK
U2 - 10.2748/tmj/1113247131
DO - 10.2748/tmj/1113247131
M3 - Article
AN - SCOPUS:1642491911
SN - 0040-8735
VL - 55
SP - 565
EP - 581
JO - Tohoku Mathematical Journal
JF - Tohoku Mathematical Journal
IS - 4
ER -