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Blow up for Systems of Wave Equations in Exterior Domain

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Abstract

In this paper the author studies the initial boundary value problem of semilinear wave systems in exterior domain in high dimensions (n ≥ 3). Blow up result is established and what is more, the author gets the upper bound of the lifespan. For this purpose the test function method is used.

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Acknowledgement

The author would like to show his gratitude to Prof. Yi Zhou and Prof. Ningan Lai for their kindly help and thank the reviewers for advices.

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  1. School of Mathematical Sciences, Fudan University, Shanghai, 200433, China

    Xiuwen Luo

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  1. Xiuwen Luo
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Luo, X. Blow up for Systems of Wave Equations in Exterior Domain. Chin. Ann. Math. Ser. B 40, 339–348 (2019). https://doi.org/10.1007/s11401-019-0137-5

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  • DOI: https://doi.org/10.1007/s11401-019-0137-5

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