SEMILINEAR DEGENERATE HEAT INEQUALITIES WITH SINGULAR POTENTIAL ON THE HEISENBERG GROUP |
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| Authors: | Yuan Zixia Niu Pengcheng |
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| Institution: | [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 |
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| 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. |
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| Keywords: | Heisenberg group degenerate heat inequality potential existence nonexis-tence |
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