3 papers
math.AP2025
Controllability of a One-Dimensional Dynamic Debonding Model
Nicola De Nitti, Arick Shao
We investigate a one-dimensional dynamic debonding model, introduced by Freund (1990), in which the wave equation is coupled with a Griffith criterion governing the propagation of…
math.AP2025
Asymptotics and Scattering for Critically Weakly Hyperbolic and Singular Systems
Bolys Sabitbek, Arick Shao
We study a very general class of first-order linear hyperbolic systems that both become weakly hyperbolic and contain lower-order coefficients that blow up at a single time …
math.AP2025
Controllability of parabolic equations with inverse square infinite potential wells via global Carleman estimates
Alberto Enciso, Arick Shao, Bruno Vergara
We consider heat operators on a convex domain , with a critically singular potential that diverges as the inverse square of the distance to the boundary of . We establish a…