Publications

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

39.png

and for the scalar inequality

40.png

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.

Link: 
https://www.worldscientific.com/doi/10.1142/S0219199719500433