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Optimal Liouville-type theorems for a system of parabolic inequalities

Authors: 

Anh Tuan Duong, Quoc Hung Phan*

Source title: 
Communications in Contemporary Mathematics, 2019 (ISI)
Academic year of acceptance: 
2019-2020
Abstract: 

We establish optimal Liouville-type theorems for the system of parabolic inequalities

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and for the scalar inequality

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in the whole space 41.png. Our optimal Liouville-type theorems are proved for two different classes of solutions: the nontrivial nonnegative and the positive.