1 citations · 1 across the 4 of their papers we have counts for
4 papers
A Liouville Theorem and Radial Symmetry for dual fractional parabolic equations
Yahong Guo, Lingwei Ma, Zhenqiu Zhang
In this paper, we first study the dual fractional parabolic equation \begin{equation*} \partial^α_t u(x,t)+(-Δ)^s u(x,t) = f(u(x,t))\ \ \mbox{in}\ \ B_1(0)\times\R , \end{equation*…
Liouville theorem for fully fractional master equations and its applications
Wenxiong Chen, Lingwei Ma, Yahong Guo
In this paper, we study the fully fractional master equation \begin{equation}\label{pdeq1} (\partial_t-Δ)^s u(x,t) =f(x,t,u(x,t)),\,\,(x, t)\in \mathbb{R}^n\times \mathbb{R}. \end{…
Gibbons' conjecture for entire solutions of master equations
Wenxiong Chen, Lingwei Ma
In this paper, we establish a generalized version of Gibbons' conjecture in the context of the master equation \begin{equation*} (\partial_t-Δ)^s u(x,t)=f(t,u(x,t)) \,\, \mbox{in}\…
Qualitative properties of solutions for dual fractional nonlinear parabolic equations
Wenxiong Chen, Lingwei Ma
In this paper, we consider the dual fractional parabolic problem in the right half space. We prove that the positive solutions are strictly increasing in direction without as…