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math.AP2023
Approximate boundary controllability for parabolic equations with inverse square infinite potential wells
Arick Shao, Bruno Vergara
We consider heat operators on a bounded domain , with a critically singular potential diverging as the inverse square of the distance to . Whil…
math.AP2023
On counterexamples to unique continuation for critically singular wave equations
Simon Guisset, Arick Shao
We consider wave equations with a critically singular potential diverging as an inverse square at a hypersurface . Our aim is to construct counterexamples to…