Blow up for Systems of Wave Equations in Exterior Domain

Xiuwen Luo

Chinese Annals of Mathematics, Series B ›› 2019, Vol. 40 ›› Issue (3) : 339 -348.

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Chinese Annals of Mathematics, Series B ›› 2019, Vol. 40 ›› Issue (3) : 339 -348. DOI: 10.1007/s11401-019-0137-5
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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.

Keywords

Wave equations / Exterior domain / Blow up / Lifespan

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Xiuwen Luo. Blow up for Systems of Wave Equations in Exterior Domain. Chinese Annals of Mathematics, Series B, 2019, 40(3): 339-348 DOI:10.1007/s11401-019-0137-5

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