| 具双曲动力边界的Laplace方程解的爆破 |
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| 引用本文： | 袁德有,呼青英.具双曲动力边界的Laplace方程解的爆破[J].南阳师范学院学报,2007,6(6):9-11. |
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| 作者姓名： | 袁德有 呼青英 |
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| 作者单位： | 1. 南阳理工学院,数学系,河南,南阳,473000
2. 河南工业大学,理学院,河南,郑州,450052 |
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| 基金项目： | 河南省自然科学基金;河南省高校青年骨干教师资助项目;河南省教育厅基础科学基金 |
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| 摘 要： | 讨论了具非线性双曲动力边界条件的Laplace方程解的爆破.在边界条件为半线性双曲型且初始能量为负及边界源项满足一定条件下,利用凸性方法得到了解的爆破性。
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| 关 键 词： | Laplace方程 动力边界条件 凸性方法 爆破 |
| 文章编号： | 1671-6132（2007）06-0009-03 |
| 修稿时间： | 2007-02-25 |
Blow-up for Laplace equation with dynamical boundary conditions of hyperbolic type |
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| YUAN De-you,HU Qing-ying.Blow-up for Laplace equation with dynamical boundary conditions of hyperbolic type[J].Journal of Nanyang Teachers College,2007,6(6):9-11. |
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| Authors: | YUAN De-you HU Qing-ying |
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| Institution: | YUAN De-you, HU Qing-ying( 1. Department of Mathematics, Nanyang Institute of Science ＆ Technology, Nanyang 473000, China; 2. School of Science of Henan University of Technology, Zhengzhou 450052, China) |
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| Abstract: | The blow-up for Laplace equation with dynamical boundary condition is considered . method , the blow-up of the solution is proved if the boundary is semilinear dynamical boundary perbolic type and the initial energy is negative. By the convexity conditions of hyperbolic type and the initial energy is negative. |
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| Keywords: | Laplace equation dynamical boundary condition convexity blow-up |
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