4 papers · 1 filter
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…
The existence and nonexistence for time nonlocal evolution equations with superlinear sources
Xi Huang, Li Peng
We consider the solvable behaviour for the initial value problem of time nonlocal evolution equations with the kernels of type . Our aim is to analyze some sufficie…
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…
Random data Cauchy theory for fully nonlocal telegraph equations
Xi Huang, Li Peng, Juan Carlos Pozo +1
We consider the random Cauchy problem for the fully nonlocal telegraph equation of power type with the general type kernel . This equation can effect…