| 非线性四阶抛物方程的有限传播速度 |
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| 引用本文： | 朱宝骧,郭金勇.非线性四阶抛物方程的有限传播速度[J].广西科学,2015,22(2):225-227. |
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| 作者姓名： | 朱宝骧 郭金勇 |
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| 作者单位： | 柳州师范高等专科学校数学与计算机科学系,广西柳州,545004 |
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| 基金项目： | 广西教育厅科研项目(201204LX502)资助。 |
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| 摘 要： | 利用能量等式、Hardy不等式及Nirenberg不等式,讨论一个非线性四阶抛物方程的初边值问题解的有限传播,得到方程解的传播速度的有限性.
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| 关 键 词： | 非线性 四阶抛物方程 有限传播速度 |
| 收稿时间： | 2014/4/10 0:00:00 |
| 修稿时间： | 2014/5/10 0:00:00 |
The Finite Speed of Propagation for a Nonlinear Fourth Order Parabolic Equation |
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| ZHU Bao-xiang and GUO Jin-yong.The Finite Speed of Propagation for a Nonlinear Fourth Order Parabolic Equation[J].Guangxi Sciences,2015,22(2):225-227. |
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| Authors: | ZHU Bao-xiang and GUO Jin-yong |
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| Institution: | Department of Mathematics and Computer Science, Liuzhou Teachers College, Liuzhou, Guangxi, 545004, China and Department of Mathematics and Computer Science, Liuzhou Teachers College, Liuzhou, Guangxi, 545004, China |
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| Abstract: | We consider an initial-boundary value problem for the nonlinear fourth order equation.The finite speed of propagation of weak solutions is discussed by using the energy equality, Hardy inequality and Nirenberg inequality. |
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| Keywords: | nonlinear fourth order parabolic equation finite speed of propagation |
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