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.
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.
Wave equations / Exterior domain / Blow up / Lifespan
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| [6] |
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| [7] |
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| [8] |
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| [9] |
|
| [10] |
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| [11] |
|
| [12] |
|
| [13] |
|
| [14] |
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| [15] |
Santo, D. Del, Georgiev, V. and Mitidieri, E., Global existence of the solutions and formation of singularities a class of hyperbolic systems, Geometric Optics and Related Topics, F. Colombini and N. Lerner (eds.), Progress in Nonlinear Differential Equations and Their Applications, 32, Birkhäuser, Babel, 1997, 117–140. |
| [16] |
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| [17] |
|
| [18] |
|
| [19] |
|
| [20] |
|
| [21] |
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| [22] |
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| [23] |
|
| [24] |
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| [25] |
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