2 papers
math.AP2026
Well-posedness of stochastic time-nonlocal telegraph equations with Hölder diffusion coefficient: hereditary phase-space lifting and novel generalized coupling method
Xi Huang, Li Peng, Juan Carlos Pozo +1
We consider the initial-boundary value problem for the stochastic time-nonlocal telegraph equation with -type kernel : \begin{align*} γ\partial_t \le…
math.AP2026
Non-local evolution equations with Lévy diffusion: Well-posedness and limiting behavior
Xi Huang, Li Peng, Yong Zhou
In this note we focus our attention on a class of nonlocal-in-time evolution equations with Lévy diffusion, they arise as models of unidirectional viscoelastic fluid flow and physi…