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一类分数阶微分方程的弱解的非存在性问题
  • ISSN号：0438-0479
  • 期刊名称：《厦门大学学报：自然科学版》
  • 时间：0
  • 分类：O175.25[理学—数学;理学—基础数学]
  • 作者机构：[1]厦门大学数学科学学院,福建厦门361005
  • 相关基金：国家自然科学基金项目（10976026）
作者： 许勇强[1]
关键词： 非存在性, 分数导数, 弱解, 必要条件, nonexistence, fractional derivative, weak solutions, necessary conditions
中文摘要：

研究了下面带有初值条件的分数阶微分方程D1＋αu-Δu＋（-Δγ）/2 Dβu=｜u｜p的柯西问题.其中p〉1,-1〈α〈1,0〈γ≤2且0〈β〈2.通过采用检验函数的方法,证明了局部和整体的非存在性结果,并给出了它们存在的必要条件.这些结果改善并延伸了以前的结果.

英文摘要：

We consider the Cauchy problem for the fractional differential equation D1＋αu-Δu＋（-Δ）r/2Dβu=｜u｜p,with given initial data and where p1,-1α1,0r≤2 and 0β2.Nonexistence results and necessary conditions for local and global existence are established by means of the test-function method.These results improve and extend previous works.

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期刊信息
  • 《厦门大学学报：自然科学版》
  • 中国科技核心期刊
  • 主管单位:中华人民共和国教育部
  • 主办单位:厦门大学
  • 主编：谢素原
  • 地址：厦门市思明南路422号厦门大学嘉庚三 817-819室
  • 邮编：361005
  • 邮箱：jxmu@xmu.edu.cn
  • 电话：0592-2180367 2187731
  • 国际标准刊号：ISSN：0438-0479
  • 国内统一刊号：ISSN：35-1070/N
  • 邮发代号:34-8
  • 获奖情况:
  • 多次被评为全国、华东地区、福建省的优秀科技期刊,2001年入选国家新闻出版总署评定的"中国期刊方阵",2003年获国家新闻出版总署颁发的"第二届国家科技...,2006年获国家教育部科技司颁发的"首届中国高校精...
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  • 被引量:16575