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非齐次A-Dirac方程的Caccioppoli估计
  • ISSN号：1001-7011
  • 期刊名称：《黑龙江大学自然科学学报》
  • 时间：0
  • 分类：O189.1[理学—数学;理学—基础数学]
  • 作者机构：[1]哈尔滨工业大学数学系,哈尔滨150001, [2]江西师范大学数学系,南昌330022, [3]山东轻工学院数理学院,济南250353
  • 相关基金：Supported by the Natural Science Foundation of China（11071048）
作者： 包革军[1], 曹振华[2], 朱海静[3]
关键词： Caccioppoli估计, A-Dirac方程, CLIFFORD代数, Caccioppoli estimate, A-Dirac equation, clifford algebra
中文摘要：

非齐次A-Dirac方程DA（x,a＋Du）=B（x,Du）是A-Dirac方程DA（x,Du）=0和非齐次A-调和方程divA（x,△↓u）=B（x,△↓u）的重要推广。证明方程DA（x,a＋Du）=B（x,Du）的弱解的Caccioppoli估计。

英文摘要：

The Caccioppoli estimates about the solution to the nonhomogeneous A-harmonic equation DA（x,a＋Du）=B（x,Du）,which is the generalization of A-Dirac equation DA（x,Du）=0 and the quasi-linear equation divA（x,△↓u）=B（x,△↓u）,are investiagted.

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期刊信息
  • 《黑龙江大学自然科学学报》
  • 北大核心期刊（2011版）
  • 主管单位:黑龙江省教育厅
  • 主办单位:黑龙江大学
  • 主编：霍丽华
  • 地址：哈尔滨市学府路74号
  • 邮编：150080
  • 邮箱：hdxb@vip.sohu.com
  • 电话：0451-86608818
  • 国际标准刊号：ISSN：1001-7011
  • 国内统一刊号：ISSN：23-1181/N
  • 邮发代号:14-114
  • 获奖情况:
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  • 被引量:4204