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双调和型抛物方程的Schauder估计

姚锋平 周蜀林

姚锋平, 周蜀林. 双调和型抛物方程的Schauder估计[J]. 应用数学和力学, 2007, 28(11): 1340-1352.
引用本文: 姚锋平, 周蜀林. 双调和型抛物方程的Schauder估计[J]. 应用数学和力学, 2007, 28(11): 1340-1352.
YAO Feng-ping, ZHOU Shu-lin. Schauder Estimates for the Parabolic Equation of the Bi-Harmonic Type[J]. Applied Mathematics and Mechanics, 2007, 28(11): 1340-1352.
Citation: YAO Feng-ping, ZHOU Shu-lin. Schauder Estimates for the Parabolic Equation of the Bi-Harmonic Type[J]. Applied Mathematics and Mechanics, 2007, 28(11): 1340-1352.

双调和型抛物方程的Schauder估计

基金项目: 国家科技部973计划资助项目(2006CB705700);国家自然科学基金资助项目(60532080);国家教育部科学技术重点项目(306017)
详细信息
    作者简介:

    姚锋平(1978- ),江苏吴江人,博士(联系人.E-mail:yfp1123@math.pku.edu.cn);周蜀林(1966- ),贵州惠水人,博士(E-mail:szhou@math.pku.edu.cn).

  • 中图分类号: O175.26

Schauder Estimates for the Parabolic Equation of the Bi-Harmonic Type

  • 摘要: 该文给出了双调和型抛物方程初值问题解的Schauder估计,并且在适当的空间中证明了解的存在性与惟一性.类似于二阶情形,首先通过Fourier变换得到一个形式解,然后再利用位势理论和逼近方法得到解的正则性、唯一性及存在性.该方法简单而易懂.
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出版历程
  • 收稿日期:  2006-10-23
  • 修回日期:  2007-08-20
  • 刊出日期:  2007-11-15

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