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具不连续系数拟线性抛物组的Morrey正则性
  • ISSN号：1000-274X
  • 期刊名称：《西北大学学报：自然科学版》
  • 时间：0
  • 分类：O175.26[理学—数学;理学—基础数学]
  • 作者机构：[1]西北工业大学应用数学系,陕西西安710072, [2]西安财经学院统计学院,陕西西安710100
  • 相关基金：国家自然科学基金资助项目（10871157）;高等学校博士学科点专项科研基金资助项目（200806990032）;西北工业大学科技创新基金资助项目（2008KJ02033）
作者： 钮鹏程[1], 唐素芳[2]
关键词： 抛物组, Morrey正则性, VMO函数, parabolic system, Morrey regularity, VMO function
中文摘要：

目的研究一类具不连续系数的拟线性抛物方程组弱解的正则性。方法利用先验估计法和Campanato凝固系数法。结果给出了抛物方程组弱解梯度的反向HNder不等式。结论获得了具VMO系数的抛物方程组弱解的Morrey正则性。

英文摘要：

Aim To study the regularity for the weak solutions of a class of quasi-linear continuous coefficients. Methods A-priori estimate technique and Campanato＇s freezing A reverse HOlder＇s Conclusion Morrey inequality regularity parabolic system with dismethod are used. Results with respect to gradient of the weak solutions for the parabolic system is obtained. for the weak solution of the parabolic system with VMO coefficient is achieved.

同期刊论文项目
退化椭圆偏微分方程的Morrey正则性与齐次群上的奇异积分方法
期刊论文 34
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期刊信息
  • 《西北大学学报：自然科学网络版》
  • 主管单位:
  • 主办单位:
  • 主编：姚运
  • 地址：西安市太白北路299号
  • 邮编：710069
  • 邮箱：
  • 电话：029-88303833
  • 国际标准刊号：ISSN：1000-274X
  • 国内统一刊号：ISSN：61-1072/N
  • 邮发代号:
  • 获奖情况:
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  • 被引量:16