SEMILINEAR DEGENERATE HEAT INEQUALITIES WITH SINGULAR POTENTIAL ON THE HEISENBERG GROUP  

作　　者：原子霞 钮鹏程 

机构地区：[1]Department of Applied Mathematics,Northwestern Polytechnical University [2]School of Applied Mathematics,University of Electronic Science and Technology of China

出　　处：《Acta Mathematica Scientia》2009年第2期349-359,共11页数学物理学报（B辑英文版）

基　　金：supported by National Natural Science Foundation of China(10371099);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.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 NONEXISTENCE 

分 类 号：O152[理学—数学]