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二元热传导方程的Phragmén-Lindelöf型二择一结果

李远飞 曾鹏 陈雪姣

李远飞, 曾鹏, 陈雪姣. 二元热传导方程的Phragmén-Lindelöf型二择一结果[J]. 应用数学和力学, 2021, 42(9): 968-978. doi: 10.21656/1000-0887.420031
引用本文: 李远飞, 曾鹏, 陈雪姣. 二元热传导方程的Phragmén-Lindelöf型二择一结果[J]. 应用数学和力学, 2021, 42(9): 968-978. doi: 10.21656/1000-0887.420031
LI Yuanfei, ZENG Peng, CHEN Xuejiao. The Phragmén-Lindelöf Type Alternative Results for Binary Heat Conduction Equations[J]. Applied Mathematics and Mechanics, 2021, 42(9): 968-978. doi: 10.21656/1000-0887.420031
Citation: LI Yuanfei, ZENG Peng, CHEN Xuejiao. The Phragmén-Lindelöf Type Alternative Results for Binary Heat Conduction Equations[J]. Applied Mathematics and Mechanics, 2021, 42(9): 968-978. doi: 10.21656/1000-0887.420031

二元热传导方程的Phragmén-Lindelöf型二择一结果

doi: 10.21656/1000-0887.420031
基金项目: 

广东省普通高校创新团队项目(2020WCXTD008);广州华商学院科研团队项目(2021HSKT01)

详细信息
    作者简介:

    李远飞(1982—),男,特聘教授,博士(通讯作者. E-mail: liqfd@163.com).

    通讯作者:

    李远飞(1982—),男,特聘教授,博士(通讯作者. E-mail: liqfd@163.com).

  • 中图分类号: O175.29

The Phragmén-Lindelöf Type Alternative Results for Binary Heat Conduction Equations

  • 摘要: 考虑了二元热传导方程在半无穷区域上解的渐近性质, 其中在柱体的侧面上施加局部非齐次Neumann条件.这种条件模拟了柱体侧面上的绝热材料受到局部破坏的情形.利用微分不等式技术和能量分析的方法, 得到了热传导模型的Phragmén-Lindelöf型二择一结果
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    [13]李远飞, 曾鹏. 具有非线性边界条件的调和方程在无界区域上的Phragmén-Lindelöf二择性结果[J]. 河南大学学报(自然科学版), 2020,50(3): 365-372.(LI Yuanfei, ZENG Peng. Phragmén-Lindelöf alternative type results for the harmonic equation with nonlinear boundary conditions in an unbounded region[J].Journal of Henan University (Natural Science),2020,50(3): 365-372.(in Chinese))
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    [20]李远飞, 肖胜中, 陈雪姣. 非线性边界条件下具有变系数的热量方程解的存在性及爆破现象[J]. 应用数学和力学, 2021,42(1): 92-101.(LI Yuanfei, XIAO Shengzhong, CHEN Xuejiao. Existence and blow-up phenomena of solution to heat equations with variable coefficients under nonlinear boundary condutions[J].Applied Mathematics and Mechanics,2021,42(1): 92-101.(in Chinese))
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出版历程
  • 收稿日期:  2021-01-28
  • 修回日期:  2021-03-24
  • 网络出版日期:  2021-09-29

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