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math.AP2019
Carleman estimates with sharp weights and boundary observability for wave operators with critically singular potentials
Alberto Enciso, Arick Shao, Bruno Vergara
We establish a new family of Carleman inequalities for wave operators on cylindrical spacetime domains containing a potential that is critically singular, diverging as an inverse s…
math.AP2018
On Carleman and Observability Estimates for Wave Equations on Time-Dependent Domains
Arick Shao
We establish new Carleman estimates for the wave equation, which we then apply to derive novel observability inequalities for a general class of linear wave equations. The main fea…