Acta mathematica scientia, Series B >
SEMILINEAR DEGENERATE HEAT INEQUALITIES WITH SINGULAR POTENTIAL ON THE HEISENBERG GROUP
Received date: 2006-08-19
Revised date: 2007-01-01
Online 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)
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
YUAN Zi-Xia , CHOU Feng-Cheng . SEMILINEAR DEGENERATE HEAT INEQUALITIES WITH SINGULAR POTENTIAL ON THE HEISENBERG GROUP[J]. Acta mathematica scientia, Series B, 2009 , 29(2) : 349 -359 . DOI: 10.1016/S0252-9602(09)60035-7
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