From the 2 of 4 linked papers with an AI index.
4 papers
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
The paper studies initial value problems for time‑nonlocal evolution equations with PC kernels, providing conditions for local existence and integrability of mild solutions with su…
Non-local evolution equations with Lévy diffusion: Well-posedness and limiting behavior
Xi Huang, Li Peng, Yong Zhou
The paper analyzes evolution equations with nonlocal time dependence and Lévy diffusion, establishing existence of classical and mild solutions and proving that as the Lévy index a…
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…