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|Title:||Blow-up behavior for a semilinear heat equation with a nonlinear boundary condition|
|Issue Date:||2008-12-24 13:37:18 (UTC+8)|
|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.|
|Relation:||Tohoku Mathematical Journal,55,565-581|
|Appears in Collections:||[應用數學系] 期刊論文|
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