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math.AP2024
Liouville type theorems for dual nonlocal evolution equations involving Marchaud derivatives
Yahong Guo, Lingwei Ma, Zhenqiu Zhang
In this paper, we establish a Liouville type theorem for the homogeneous dual fractional parabolic equation \begin{equation} \partial^α_t u(x,t)+(-Δ)^s u(x,t) = 0\ \ \mbox{in}\ \ \…
math.AP2024
Master equations with indefinite nonlinearities
Wenxiong Chen, Yahong Guo
In this paper, we consider the following indefinite fully fractional heat equation involving the master operator \begin{equation} (\partial_t -Δ)^{s} u(x,t) = x_1u^p(x,t)\ \ \mbox{…