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

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

2011-06-30

arxiv.org/abs/1106.6221v1

Mathematics

Analysis of PDEs

Scientific paper

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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