The paper introduces distributional ISS via Wasserstein distance and proves stability for l-smooth lambda-convex Wasserstein gradient flows under bounded perturbations, plus error bounds for kernel and particle approximations.
Title resolution pending
2 Pith papers cite this work. Polarity classification is still indexing.
2
Pith papers citing it
years
2026 2verdicts
UNVERDICTED 2representative citing papers
The paper demonstrates systematic construction of generalized Lyapunov functionals to obtain explicit ISS estimates in L^q spaces for nonlinear parabolic, first-order hyperbolic, and wave equations.
citing papers explorer
-
Input-to-State Stability of Gradient Flows in Distributional Space
The paper introduces distributional ISS via Wasserstein distance and proves stability for l-smooth lambda-convex Wasserstein gradient flows under bounded perturbations, plus error bounds for kernel and particle approximations.