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math.AP2023
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*…
math.AP2023
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{…