Blow-up behavior for a semilinear heat equation with a nonlinear boundarycondition

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概要

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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.

• 東北大学の論文

著者

• Guo Jong-shenq

  Department Ofmathematics National Taiwan Normal University

• Guo Jong-shenq

  Departemt Of Mathematics National Taiwan Normaluniversity

• Tsai Je-chiang

  Department Of Mathematics National Taiwan Normaluniversity

• Tsai Je-chiang

  Department Of Computer Science National Taiwan Ocean University

• Fu Sheng-chen

  Departmentof Mathematical Sciences National Chengchi University

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