| ASYMPTOTIC BEHAVIOR OF POSITIVE RADIAL SOLUTIONS FOR THE GENERALIZED EMDEN-FOWLER EQUATION WITH APPLICATION |
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| 引用本文： | 坚雄飞. ASYMPTOTIC BEHAVIOR OF POSITIVE RADIAL SOLUTIONS FOR THE GENERALIZED EMDEN-FOWLER EQUATION WITH APPLICATION[J]. Annals of Differential Equations, 2002, 0(4) |
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| 作者姓名： | 坚雄飞 |
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| 作者单位： | Dept. of Math.，South China Normal University，Guangzhou 510631 |
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| 基金项目： | The Project Supported NSF of Guangdong (990444)，NSFC (10071014). |
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| 摘 要： | In this paper, we consider a class of semilinear parabolic differential equation where nonlinear term has local bounded coefficients. Under some assumptions, we get the existence and uniqueness of solution. Terminate to the time variable, we obtain the so called generalized Emden-Fowler equation and the asymptotic behavior of positive radial solutions have been given in all dimensions. At the end of this paper, we give its application to critical branching Brownian motion (also called measure-valued branching processes).
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ASYMPTOTIC BEHAVIOR OF POSITIVE RADIALSOLUTIONS FOR THE GENERALIZEDEMDEN-FOWLER EQUATION WITHAPPLICATION |
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| Jian Xiongfei. ASYMPTOTIC BEHAVIOR OF POSITIVE RADIALSOLUTIONS FOR THE GENERALIZEDEMDEN-FOWLER EQUATION WITHAPPLICATION[J]. 微分方程年刊(英文版), 2002, 0(4) |
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| Authors: | Jian Xiongfei |
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| Abstract: | In this paper, we consider a class of semilinear parabolic differential equation where nonlinear term has local bounded coefficients. Under some assumptions, we get the existence and uniqueness of solution. Terminate to the time variable, we obtain the so called generalized Emden-Fowler equation and the asymptotic behavior of positive radial solutions have been given in all dimensions. At the end of this paper, we give its application to critical branching Brownian motion (also called measure-valued branching processes). |
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| Keywords: | nonlinear evolution equation radial solution Emden-Fowler equation super-Brownian motion |
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