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math.PR2025
Quenching time and probability estimates for a stochastic reaction-diffusion system with coupled inner singular absorption terms driven by mixed noises
Nikos I. Kavallaris, Christos V. Nikolopoulos, Subramani Sankar
This paper investigates a stochastic parabolic system under Robin boundary conditions, for which the deterministic counterpart exhibits finite quenching. The stochastic system inco…
math.PR2023
On the impact of noise on quennching for a nonlocal diffusion model driven by a mixture of Brownian and fractional Brownian motions
Nikos I. Kavallaris, Çhristos V. Nikolopoulos, Athanasios N. Yannacopoulos
In this paper, we study a stochastic parabolic problem involving a nonlocal diffusion operator associated with nonlocal Robin-type boundary conditions. The stochastic dynamics unde…