4 citations · 5 across the 4 of their papers we have counts for
4 papers
Symmetry and monotonicity of solutions to elliptic and parabolic fractional -equations
Pengyan Wang
In this article we first establish the maximum principle of the antisymmetric functions for parabolic fractional -equations. Then we use it and the parabolic inequalities to pro…
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…
Hopf's lemmas for parabolic fractional Laplacians and parabolic fractional -Laplacians
Pengyan Wang, Wenxiong Chen
In this paper, we first establish Hopf's lemmas for parabolic fractional equations and parabolic fractional -equations. Then we derive an asymptotic Hopf's lemma for antisymmetr…
Asymptotic method of moving planes for fractional parabolic equations
Wenxiong Chen, Pengyan Wang, Yahui Niu +1
In this paper, we develop a systematical approach in applying an asymptotic method of moving planes to investigate qualitative properties of positive solutions for fractional parab…