The blow-up and lifespan of solutions to systems of semilinear wave equation with critical exponents in high dimensions

Hiroyuki Takamura; Kyouhei Wakasa; Yuki Kurokawa

arxiv: 1106.6221 · v1 · pith:ZDMR3EWRnew · submitted 2011-06-30 · 🧮 math.AP

The blow-up and lifespan of solutions to systems of semilinear wave equation with critical exponents in high dimensions

Yuki Kurokawa , Hiroyuki Takamura , Kyouhei Wakasa This is my paper

classification 🧮 math.AP

keywords blow-upcriticaldimensionshighlifespansemilinearsystemswave

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In this paper we prove the blow-up theorem in the critical case for weakly coupled systems of semilinear wave equations in high dimensions. The upper bound of the lifespan of the solution is precisely clarified.

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The blow-up and lifespan of solutions to systems of semilinear wave equation with critical exponents in high dimensions

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