3 papers
math.AP2025
A class of second-order geometric quasilinear hyperbolic PDEs and their application in imaging science
Guozhi Dong, Michael Hintermüller, Ye Zhang
Motivated by important applications in image processing, we study a class of second-order geometric quasilinear hyperbolic partial differential equations (PDEs). This is inspired b…
math.NA2024
Stochastic asymptotical regularization for nonlinear ill-posed problems
Haie Long, Ye Zhang
Recently, the stochastic asymptotical regularization (SAR) has been developed in (\emph{Inverse Problems}, 39: 015007, 2023) for the uncertainty quantification of the stable approx…
math.MG2024
Curvature exponent and geodesic dimension on Sard-regular Carnot groups
Sebastiano Nicolussi Golo, Ye Zhang
In this paper we characterize the geodesic dimension and give a new lower bound to the curvature exponent on Sard-regular Carnot groups. As an application, we gi…