| 交叉扩散捕食模型古典解的全局存在性 |
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| 引用本文： | 李成林.交叉扩散捕食模型古典解的全局存在性[J].烟台大学学报(自然科学与工程版),2012(4):239-242. |
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| 作者姓名： | 李成林 |
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| 作者单位： | 西南大学数学与统计学院;保山学院数学学院 |
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| 基金项目： | 国家自然科学基金资助项目(XDJK2009C152);云南省教育科研基金资助项目(2011Y072) |
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| 摘 要： | 考察了一类带有交叉扩散和功能IV反应函数且满足留曼边界条件捕食-食饵反应扩散系统.利用Hǒlder连续,抛物方程Schauder估计和最大值原理,先对此系统的解进行先验估计,通过解的延拓,最后证明了此系统全局古典解的存在唯一性.
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| 关 键 词： | 古典解 Hǒlder连续 Shauder估计 |
Global Existence of Classical Solutions to the Predator-prey Model with Cross-Diffusion |
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| LI Cheng-lin.Global Existence of Classical Solutions to the Predator-prey Model with Cross-Diffusion[J].Journal of Yantai University(Natural Science and Engineering edirion),2012(4):239-242. |
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| Authors: | LI Cheng-lin |
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| Institution: | LI Cheng-lin1,2(1.School of Mathematics and Statistics,Southwest University,Chongqing 400715,China;2.School of Mathematics,Baoshan College,Baoshan 678000,China) |
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| Abstract: | A cross-diffusion predator-prey model is investigated incorporating Holling type IV functional response under homogeneous Neumann boundary condition. By applying the Holder continuity, the parabolic Schauder estimates and Maximum principle, a prior estimates of solutions are given for this system. The solution of this system is extended, and finally it is proved that there exists a unique global classical solution of this system. |
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| Keywords: | classical solution Holder continuity Schauder estimate |
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