Optimal Liouville-type theorems for a system of parabolic inequalities
https://doi.org/10.1142/S0219199719500433Publisher, magazine: ,
Publication year: 2019
Lưu Trích dẫn Chia sẻAbstract
We establish optimal Liouville-type theorems for the system of parabolic inequalities {ut−Δu≥vp,vt−Δv≥uq and for the scalar inequality wt−Δw≥wp in the whole space RN×R and in RN×(0,∞). Our optimal Liouville-type theorems are proved for two different classes of solutions: the nontrivial nonnegative and the positive.
Tags: Liouville-type theorem, parabolic system, parabolic inequality, Fujita resultcritical exponent
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