3 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.AP2025
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…
math.AP2025
Asymptotic behavior of the fundamental solution of space-time fractional equations with a reaction term
Luciano AbadÃas, Claudio Carrasco, Juan C. Pozo
In this paper, we consider a space-time fractional partial differential equation with a reactive term. We describe the speed of invasion of its fundamental solution, extending rece…