Blow up for Systems of Wave Equations in Exterior Domain

Citation:

Xiuwen LUO.Blow up for Systems of Wave Equations in Exterior Domain[J].Chinese Annals of Mathematics B,2019,40(3):339~348
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Authors:

Xiuwen LUO;
Abstract: In this paper the author studies the initial boundary value problem of semilinear wave systems in exterior domain in high dimensions ($n\geq 3$). 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

Classification:

35L05, 35L70
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