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| 引用本文： | �ֻ���.�Ǿֲ��������������˥���ٶ�[J].应用概率统计,2017,33(6):642-654. |
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| 作者姓名： | �ֻ��� |
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| 作者单位： | ????????????????????, ????, 350117 |
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| 摘 要： |
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| 关 键 词： | ???????????? ???? ??Poincar\'{e}????? |
Decay Rates of Weak Solutions to Non-Local Cauchy Problems |
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| LIN HuoNan.Decay Rates of Weak Solutions to Non-Local Cauchy Problems[J].Chinese Journal of Applied Probability and Statisties,2017,33(6):642-654. |
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| Authors: | LIN HuoNan |
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| Institution: | College of Mathematics and Informatics, Fujian Normal University, Fuzhou, 350117, China |
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| Abstract: | In this paper, the asymptotic behavior of the weak solution (u_t)_{t\ge0} to the non-local Cauchy problems as stated in (1) is considered. Only using lower bounds of jumping kernel J(x,y) for large |x-y|, it is obtained that \|u_t\|_p\le c(t)\|u_0\|_q with any 1\le q
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| Keywords: | non-local Cauchy problem jump kernel weak-Poincar\'{e} inequality |
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