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含不连续系数的p-Laplace抛物方程的正则性
  • ISSN号：1001-9847
  • 期刊名称：《应用数学》
  • 时间：0
  • 分类：O175.26[理学—数学;理学—基础数学]
  • 作者机构：[1]西安财经学院统计学院,陕西西安710100
  • 相关基金：Supported by the Chinese National Science Fund for Distinguished Young Scholars （11101319, 11201081, 11202035）, the Foundation of Shaanxi Province Education Department （14JK1276） and the Foundation of Shaanxi Statistical Research Center （13JD04）
作者： 唐素芳[1]
关键词： 抛物方程, MORREY空间, CAMPANATO空间, VMO函数, Holder连续性, Parabolic equation, Morrey space, Campanato space, VMO functionHolder continuity
中文摘要：

当系数矩阵满足一定的VMO条件时，利用Campanato凝固系数方法，证明一类退化抛物方程弱解的Morrey正则性．并且，利用Holder连续函数的积分特征，对方程弱解建立局部最优Holder连续性．

英文摘要：

The Morrey regularity for weak solutions to a class of degenerate parabolic equation is proved by using Campanato＇s freezing method when the coefficient matrices satisfy certain VMO conditions. Moreover,we establish the local optimal HOlder continuity for the weak solutions by the integral characteristic of HOlder continuous functions.

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期刊信息
  • 《应用数学》
  • 北大核心期刊（2011版）
  • 主管单位:国家教育部
  • 主办单位:华中科技大学
  • 主编：李大潜
  • 地址：武汉珞喻路1037号华中科技大学逸夫科技大楼南楼902室
  • 邮编：430074
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  • 电话：027-87543831
  • 国际标准刊号：ISSN：1001-9847
  • 国内统一刊号：ISSN：42-1184/O1
  • 邮发代号:38-61
  • 获奖情况:
  • 中国科学引文数据库来源期刊,中国学术期刊综合评价数据库来源期刊
  • 国内外数据库收录:
  • 美国数学评论（网络版）,德国数学文摘,日本日本科学技术振兴机构数据库,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）,中国北大核心期刊（2000版）
  • 被引量:4139