| GLOBAL BLOWUP AND BLOWUP RATE ESTIMATES OF SOLUTIONS FOR A CLASS OF NONLINEAR NON-LOCAL REACTION-DIFFUSION PROBLEMS |
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| 作者姓名： | 刘其林 谢春红 陈松林 |
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| 作者单位： | [1]DepartmentofMathematics,SoutheastUniversity,Nanjing210096,China [2]DepartmentofMathematics,NanjingUniversity,Nanjing210093,China [3]DepartmentofMathematicsandPhysics,AnhuiUniversityofTechnology,Maanshan243002,China |
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| 摘 要： | In this paper, the global blowup properties of solutions for a class of non-linear non-local reaction-diffusion problems are investigated by the methods of the priorestimates. Moreover, the blowup rate estimate of the solution is given.
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| 关 键 词： | 全局破裂性 破裂率估计 反应扩散方程 光滑边界 |
GLOBAL BLOWUP AND BLOWUP RATE ESTIMATES OF SOLUTIONS FOR A CLASS OF NONLINEAR NON-LOCAL REACTION-DIFFUSION PROBLEMS |
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| Liu Qilin.GLOBAL BLOWUP AND BLOWUP RATE ESTIMATES OF SOLUTIONS FOR A CLASS OF NONLINEAR NON-LOCAL REACTION-DIFFUSION PROBLEMS[J].Acta Mathematica Scientia,2004,24(2):259-264. |
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| Authors: | Liu Qilin |
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| Institution: | Liu Qilin Department of Mathematics,Southeast University,Nanjing 210096,China Xie Chunhong Department of Mathematics,Nanjing University,Nanjing 210093,China Chen Songlin Department of Mathematics and Physics,Anhui University of Technology,Maanshan 243002,China |
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| Abstract: | In this paper, the global blowup properties of solutions for a class of nonlinear non-local reaction-diffusion problems are investigated by the methods of the prior estimates. Moreover, the blowup rate estimate of the solution is given. |
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| Keywords: | Non-local reaction-diffusion equation blow-up rate a priori estimate |
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