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math.AP2021
Nonexistence of solutions for indefinite fractional parabolic equations
Wenxiong Chen, Leyun Wu, Pengyan Wang
We study fractional parabolic equations with indefinite nonlinearities $$ \frac{\partial u} {\partial t}(x,t) +(-Δ)^s u(x,t)= x_1 u^p(x, t),\,\, (x, t) \in \mathbb{R}^n \times \mat…
math.AP2021
Liouville theorems for fractional parabolic equations
Wenxiong Chen, Leyun Wu
In this paper, we establish several Liouville type theorems for entire solutions to fractional parabolic equations. We first obtain the key ingredients needed in the proof of Liouv…