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一类反系数问题拟解的存在性
  • ISSN号：1000-5900
  • 期刊名称：《湘潭大学自然科学学报》
  • 时间：0
  • 分类：O172.25[理学—数学;理学—基础数学]
  • 作者机构：[1]中南大学数学科学与计算技术学院,湖南长沙410075, [2]湖南城市学院数学与计算科学系,湖南益阳413000
  • 相关基金：国家自然科学基金项目（10671211）;湖南省教育厅项目（08c205）
作者： 肖翠娥[1,2], 刘振海[1]
关键词： 位势算子, 弱解, 反系数问题, 拟解, potential operator, weak solution, inverse coefficient problem, quasi-solution
中文摘要：

讨论了一类非线性位势算子反系数问题的拟解的存在性．利用单调位势算子理论和Browder-Minty定理，证明了问题弱解的存在唯一性，并在合适的容许系数集中得到了反系数问题拟解的存在性．

英文摘要：

This paper discusses the inverse coefficient problem for nonlinear potential operator. An unknown leading coefficient depends on the gradient of the solution in the equation, moreover, the coefficient is determined only by two measurement data. We have proved that an existence and uniqueness theorem of weak solutions of direct problem by using the monotone potential operator theories and Browder-Minty theo- rem. The quasi-solution of the inverse coefficient problem is obtained in the appropriate class of admissible coefficients.

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期刊信息
  • 《湘潭大学自然科学学报》
  • 北大核心期刊（2011版）
  • 主管单位:湖南省教育厅
  • 主办单位:湘潭大学
  • 主编：黄云清
  • 地址：湖南湘潭市
  • 邮编：411105
  • 邮箱：jxtus@xtu.edu.cn
  • 电话：0731-58292143
  • 国际标准刊号：ISSN：1000-5900
  • 国内统一刊号：ISSN：43-1066/N
  • 邮发代号:42-33
  • 获奖情况:
  • 全国优秀科技期刊,湖南省一级期刊
  • 国内外数据库收录:
  • 俄罗斯文摘杂志,美国化学文摘（网络版）,美国数学评论（网络版）,德国数学文摘,荷兰文摘与引文数据库,中国中国科技核心期刊,中国北大核心期刊（2004版）,中国北大核心期刊（2008版）,中国北大核心期刊（2011版）,中国北大核心期刊（2014版）
  • 被引量:4425