Blaschke, Privaloff, Reade and Saks Theorems for Diffusion Equations on Lie Groups

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• 作者：Alessia E. Kogoj (1)
  Giulio Tralli (1)
  
• 关键词：Diffusion equations ; Ultraparabolic equations ; Subsolutions ; Mean ; value operators ; Homogeneous Lie groups ; Primary 35K70 ; 31B05 ; Secondary 35R03 ; 35H10
• 刊名：Potential Analysis
• 出版年：2013
• 出版时间：May 2013
• 年：2013
• 卷：38
• 期：4
• 页码：1103-1122
• 全文大小：397 KB
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• 作者单位：Alessia E. Kogoj (1)
  Giulio Tralli (1)
  
  1. Dipartimento di Matematica, Universit脿 di Bologna, Piazza di Porta San Donato, 5, 40126, Bologna, Italy
  
• ISSN：1572-929X

文摘

We prove some asymptotic characterizations for the subsolutions to a class of diffusion equations on homogeneous Lie groups. These results are the diffusion counterpart of the classical Blaschke, Privaloff, Reade and Saks Theorems for harmonic functions.