数学物理学报(英文版) ›› 2009, Vol. 29 ›› Issue (2): 349-359.doi: 10.1016/S0252-9602(09)60035-7

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SEMILINEAR DEGENERATE HEAT INEQUALITIES WITH SINGULAR POTENTIAL ON THE HEISENBERG GROUP

 原子霞, 钮鹏程   

  1. 1.Department of Applied Mathematics, Northwestern Polytechnical University, Xi’an 710072, China
    2.School of Applied Mathematics, University of Electronic Science and Technology of China
  • 收稿日期:2006-08-19 修回日期:2007-01-01 出版日期:2009-03-20 发布日期:2009-03-20
  • 基金资助:

    The project was supported by National Natural Science Foundation of China(10371099) and Natural Science Basic Research Plan in Shaanxi Province of China (2006A09)

SEMILINEAR DEGENERATE HEAT INEQUALITIES WITH SINGULAR POTENTIAL ON THE HEISENBERG GROUP

Yuan Zixia|Niu Pengcheng   

  1. 1.Department of Applied Mathematics, Northwestern Polytechnical University, Xi’an 710072, China
    2.School of Applied Mathematics, University of Electronic Science and Technology of China
  • Received:2006-08-19 Revised:2007-01-01 Online:2009-03-20 Published:2009-03-20
  • Supported by:

    The project was supported by National Natural Science Foundation of China(10371099) and Natural Science Basic Research Plan in Shaanxi Province of China (2006A09)

摘要:

This article deals with the global existence and nonexistence of solutions to the degenerate heat inequalities with singular potential on the Heisenberg group. To prove the existence results, the authors adjust the method of supersolutions to their setting. The nonexistence results are obtained by means of the test function method.

关键词: Heisenberg group, degenerate heat inequality, potential, existence, nonexis-tence

Abstract:

This article deals with the global existence and nonexistence of solutions to the degenerate heat inequalities with singular potential on the Heisenberg group. To prove the existence results, the authors adjust the method of supersolutions to their setting. The nonexistence results are obtained by means of the test function method.

Key words: Heisenberg group, degenerate heat inequality, potential, existence, nonexis-tence

中图分类号: 

  • 35H20