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math.AP2021★ 1 cited
Control of waves on Lorentzian manifolds with curvature bounds
Vaibhav Kumar Jena, Arick Shao
We prove boundary controllability results for wave equations (with lower-order terms) on Lorentzian manifolds with time-dependent geometry satisfying suitable curvature bounds. The…
math.AP2021★ 1 cited
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 g…