关于Heisenberg群上一类次椭圆方程组弱解的正则性

关于Heisenberg群上一类次椭圆方程组弱解的正则性

论文摘要

本文研究了Heisenberg群Hn上散度型非线性次椭圆组弱解的正则性问题。利用迭加分数次差商的技巧证明了弱解的HW2,2估计;利用凝固系数法以及常系数椭圆组的几个重要估计式,证明了非线性次椭圆组弱解的部分正则性。

论文目录

  • 第一章 绪论
  • 第二章 预备知识
  • 2.1 基本概念
  • 2.2 Hcisenberg群上次椭圆方程(组)解的正则性理论
  • 2.3 几个预备结果
  • 2,2估计'>第三章 次椭圆方程组弱解的HW2,2估计
  • 第四章 次椭圆方程组弱解的部分正则性
  • 总结
  • 致谢
  • 参考文献
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