Optimal Liouville-type theorems for a system of parabolic inequalities
Optimal Liouville-type theorems for a system of parabolic inequalities
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
and for the scalar inequality
in the whole space . Our optimal Liouville-type theorems are proved for two different classes of solutions: the nontrivial nonnegative and the positive.