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一个初值控制动态问题解的存在性

Existence of Solutions for an Initial Control Problem with Dynamic Boundary Conditions
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摘要 讨论了一个抛物型偏微分方程动态边值的初值控制问题.在一定条件下得出了上下解的有序性,并由此引入迭代序列讨论了整体解的存在性以及计算办法,并给出了问题具有无穷多解的算例. An initial control problem with dynamic boundary conditions is investigated by using a method of maximal principle.The comparison principle and existence of solutions for the control problem under some assumptions are proved.Some examples with multiple solutions and unique solution are gived.
作者 童春 王远弟
机构地区 上海大学理学院 宁波职业技术学院公共教学部
出处 《上海大学学报（自然科学版）》 CAS CSCD 北大核心 2014年第6期741-748,共8页 Journal of Shanghai University:Natural Science Edition
基金 上海高校一流学科资助项目
关键词 非局部 抛物型方程 控制问题 边值问题 上下解 极值原理 nonlocal parabolic equation control problem boundary value problem upper-lower solutions maximal principle
分类号 O175.2 [理学—基础数学]
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参考文献14

  • 1CRISCIANI F, PURINI a. A note on the dynamic boundary conditions in Munklike circulation models [J]. The European Physical Journal B, 2003, 31: 571-575.
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二级参考文献22

  • 1弗里德曼.抛物型偏微分方程[M].北京:科学出版社,1984.
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共引文献4

上海大学学报（自然科学版）
2014年 第6期

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