| REMARKS ON THE LIFESPAN FOR THE SOLUTION TO NONLINEAR WAVE EQUATIONS IN THREE SPACE DIMENSIONS |
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| 作者姓名： | 杨晗 刘法贵 |
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| 作者单位： | Yang Han Department of Applied Mathematics，South West Jiaotong University，Chengdu 610031，ChinaLiu Fagui North China Institute of Water Conservancy and Hydroeletric Power，Zhengzhou 450045，China |
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| 基金项目： | This work was supported by South-West Jiaotong University Foundation |
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| 摘 要： | The authors consider the Cauchy problem for the following nonlinear wave equationswhere x ∈ R3, t ≥ 0, ε > 0 is a small parameter, and obtain the sharp bounds for the lifespan of solution to (0.1). Specially, it is proved that there exist two constants C1 and C2, which are independent of ε, then the lifespan T(ε) satisfies the folowing inequalities
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REMARKS ON THE LIFESPAN FOR THE SOLUTION TO NONLINEAR WAVE EQUATIONS IN THREE SPACE DIMENSIONS |
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| Yang Han.REMARKS ON THE LIFESPAN FOR THE SOLUTION TO NONLINEAR WAVE EQUATIONS IN THREE SPACE DIMENSIONS[J].Acta Mathematica Scientia,2003,23(1). |
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| Authors: | Yang Han |
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| Institution: | Yang Han Department of Applied Mathematics,South West Jiaotong University,Chengdu 610031,ChinaLiu Fagui North China Institute of Water Conservancy and Hydroeletric Power,Zhengzhou 450045,China |
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| Abstract: | |
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| Keywords: | Nonlinear wave equations lifespan spherical mean |
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